Finding the Third Proportional to 7,676 and 16,882
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Solution
The third proportional to 7,676 and 16,882 is: 37,128.96
Step by Step Solution
- Step 1: Write the proportion equation
7,676 : 16,882 = 16,882 : x - Step 2: Convert to fraction form
7,676/16,882 = 16,882/x - Step 3: Cross multiply
7,676x = 16,882 × 16,882 - Step 4: Simplify right side
7,676x = 285,001,924 - Step 5: Solve for x
x = 285,001,924/7,676 - Step 6: Final answer
x = 37,128.96
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.