If cats meow, then dogs don't bark. if dogs bark, then cats meow. if dogs don't bark, then cats meow. if cats don't meow, then dogs don't bark. cats don't meow and dogs bark. if cats don't meow, then dogs bark. if dogs don't bark, then cats don't meow. if dogs bark, then cats don't meow. cats meow and dogs don't bark. cats don't meow and dogs don't bark.

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in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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