Finding the Third Proportional to 10,642 and 22,732
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Solution
The third proportional to 10,642 and 22,732 is: 48,557.02
Step by Step Solution
- Step 1: Write the proportion equation
10,642 : 22,732 = 22,732 : x - Step 2: Convert to fraction form
10,642/22,732 = 22,732/x - Step 3: Cross multiply
10,642x = 22,732 × 22,732 - Step 4: Simplify right side
10,642x = 516,743,824 - Step 5: Solve for x
x = 516,743,824/10,642 - Step 6: Final answer
x = 48,557.02
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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.