The 3rd gen Kindle is also known as the Kindle Keyboard (sold starting in 2010).
Assuming you mean cheapest current Kindle that would be the 7th gen Kindle, sometimes called the Touch2 or Touch Basic.
I'm not sure if it got a similar update to what the Paperwhite did a while back, but if it did then switching the selectors on the home screen to Downloaded and All Items should help IIRC. If not then I'm not sure.
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