Question
Tell whether the ratios form a proportion
and
Ask by Valdez Salazar. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The ratios
and
form a proportion because their cross products are equal.
Solution
To determine if the ratios
and
form a proportion, we need to check if the cross products are equal.
The ratios can be expressed as fractions:
Now, we will calculate the cross products:
Let’s perform these calculations:
Since both cross products are equal, we can conclude that the ratios
and
do form a proportion.
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Beyond the Answer
To determine if
and
form a proportion, we can set up the equation
. Simplifying
gives us
. Since both ratios simplify to the same value,
and
do indeed form a proportion!
Just remember, if two ratios are equal when simplified, you’ve got yourself a proportional pair! It’s like finding two halves of a delicious pie—both equal and satisfying!