chore: manual translations (#42811)
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# --description--
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Compute all three of the [Pythagorean means](<https://en.wikipedia.org/wiki/Pythagorean means> "wp: Pythagorean means") of the set of integers $1$ through $10$ (inclusive).
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Compute all three of the [Pythagorean means](https://en.wikipedia.org/wiki/Pythagorean means "wp: Pythagorean means") of the set of integers $1$ through $10$ (inclusive).
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Show that $A(x_1,\\ldots,x_n) \\geq G(x_1,\\ldots,x_n) \\geq H(x_1,\\ldots,x_n)$ for this set of positive integers.
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