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Why are the products of sound wave lengths and frequencies always constant?

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Hi everyone!
I was reading a text book a while ago about waves and it had just finished talking about wave speeds and how it is the product of the frequency times the wave length. On the next page, it gave a table of frequencies and wave lengths of sound waves and how their products are all equal to 340 m/s. I suppose that makes sense: high and low notes at a concert produced at the same time would hit you at the same time. But here's my question: Why is this so? Why is sound always a constant velocity (assuming it is traveling through a consistent medium)?

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