Finding the Third Proportional to 9,739 and 14,592
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Solution
The third proportional to 9,739 and 14,592 is: 21,863.28
Step by Step Solution
- Step 1: Write the proportion equation
9,739 : 14,592 = 14,592 : x - Step 2: Convert to fraction form
9,739/14,592 = 14,592/x - Step 3: Cross multiply
9,739x = 14,592 × 14,592 - Step 4: Simplify right side
9,739x = 212,926,464 - Step 5: Solve for x
x = 212,926,464/9,739 - Step 6: Final answer
x = 21,863.28
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.