# Mark's geometric mean

Algebra Level 2

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


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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