Finding the Third Proportional to 9,724 and 15,086
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Solution
The third proportional to 9,724 and 15,086 is: 23,404.71
Step by Step Solution
- Step 1: Write the proportion equation
9,724 : 15,086 = 15,086 : x - Step 2: Convert to fraction form
9,724/15,086 = 15,086/x - Step 3: Cross multiply
9,724x = 15,086 × 15,086 - Step 4: Simplify right side
9,724x = 227,587,396 - Step 5: Solve for x
x = 227,587,396/9,724 - Step 6: Final answer
x = 23,404.71
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.