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I could be wrong and if so somebody please correct me, but I believe kicking a FG on 3rd down will only grant another try on 4th down if it was blocked.
I don't that's right. If it's blocked, defense takes over. And if the kicker misses, the other team gets the ball.
The rationale for a FG on 3rd down (usually near the end of a game) was that if the snap was bad, the holder could rise up and throw an incomplete pass. Then try the kick again.