Finding the Third Proportional to 9,126 and 9,882
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Solution
The third proportional to 9,126 and 9,882 is: 10,700.63
Step by Step Solution
- Step 1: Write the proportion equation
9,126 : 9,882 = 9,882 : x - Step 2: Convert to fraction form
9,126/9,882 = 9,882/x - Step 3: Cross multiply
9,126x = 9,882 × 9,882 - Step 4: Simplify right side
9,126x = 97,653,924 - Step 5: Solve for x
x = 97,653,924/9,126 - Step 6: Final answer
x = 10,700.63
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.