Mark's geometric mean

Algebra Level 2

If two numbers have arithmetic mean 2700 and harmonic mean 75, then find their geometric mean.

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Note:

  • The arithmetic mean of two numbers \(a\) and \(b\) is \(\frac{a+b}2\).
  • The harmonic mean of two numbers \(a\) and \(b\) is \( \frac2{\frac1{a} + \frac1{b}} \).
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