The expanded warning was prompted by additional testing, Ford, the second largest U.S. automaker, said in a statement, and now covers a broader time frame of production.
Mazda Motor Corp. said it was issuing a similar expansion for about 1,800 2006 Mazda B-series trucks that were built by Ford after it had issued a warning for 160 trucks in January. Owners are asked to bring their Rangers into dealers, who will make the necessary repairs free of charge.
The Takata airbag recall nightmare has proved to be arguably the most widespread and complex recall in history thanks to the fact that 19 manufacturers' vehicles were affected and many people are still waiting for a fix for their cars.
Rangers added to the do-not-drive list were built between August 5 and December 15, 2005.
Both Ford and Mazda have replacement parts available now. Of the total number of Rangers recalled, 30,603 are located in the United States and and 2,825 in Canada.
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Ford previously took this action on a population of approximately 3,000 2006 Ford Ranger vehicles because there were two fatalities caused by driver airbag inflator ruptures from Takata inflators built on the same day.
The inflators also caused the largest series of automotive recalls in US history.
Takata in June said that it has recalled, or expected to recall, about 125 million vehicles worldwide by 2019, including more than 60 million in the United States.
The initial warning was issued in January after an exploding Takata air bag inflator that killed a person in West Virginia.
The company was hoping to exit bankruptcy filing, but instead looked like it was headed for a protracted battle between two committees: automakers and Key Safety Systems, which bought the company's assets past year for $1.6 billion.
The trust will pay compensation based on the injury, ranging from $10,000 for bruising to $5 million for death or loss of eyesight, according to court documents.