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I've only had one flat and it was on the front. Problem was it took two times to fix it right. After the first flat, the dealer I stopped at only replaced the tube and told me the tire was fine. However it wasn't, apparently the first flat caused enough of a problem with the cord of the tire that it cut into the new tube and I got a flat again. So I ended up at two dealers, paying for two repairs, two tubes and one tire. I don't know if that was your problem or not but replacing the tire is a good idea if you're not sure.
Had not though of that. What a bummer, your tire making itself go flat.