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By experimentation, a physics student determines that the frequencies of two unspecified, but consecutive standing wave...

By experimentation, a physics student determines that the frequencies of two unspecified, but consecutive standing wave patterns on a particular string that is fixed at both ends are 62.7 Hz and 70.3 Hz . What would be the next higher frequency for which the string would have a standing wave? Express the answer in Hz. (Assume that the tension in the string is the same for all three standing wave patterns.)

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