Finding the Third Proportional to 7,142 and 15,317
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Solution
The third proportional to 7,142 and 15,317 is: 32,849.41
Step by Step Solution
- Step 1: Write the proportion equation
7,142 : 15,317 = 15,317 : x - Step 2: Convert to fraction form
7,142/15,317 = 15,317/x - Step 3: Cross multiply
7,142x = 15,317 × 15,317 - Step 4: Simplify right side
7,142x = 234,610,489 - Step 5: Solve for x
x = 234,610,489/7,142 - Step 6: Final answer
x = 32,849.41
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.