Actually if you read Christphers notes in the UT he says that the Rohirrim had around 12,000.
I have done a lot of research on this and I've come up with some figures (note. I did this through estimations of populations through military numbers mentioned in the UT, LotR and the Hobbit) that are quite interesting and I believe pretty close to being right on the mark.
Gondor: 28,000-30,000.
Rohan: 12,000.
Elves of Mirkwood: 3-4,000.
Lorien: 2-3,000.
Kingdom of Dale: 3-6,000.
Dwarves of the Iron Hills: 8-10,000.
Dwarves of Erebor: 4-6,000.
Lindon: 2-5,000
Evil
Mordor: 100-200,000
Rhun: 14-25,000
Harad: 30-40,000
Khand: 15-20,000
Goblins of the Misty Mts: 6-10,000
Dol Guldur: 8-10,000
Those are the ones that can be more easily estimated. Of the Beornings and Woodmen , it would be difficult to calculate since they are barely ever mentioned, but otherwise I think these numbers should be near if not spot on with the numbers.
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