Finding the Third Proportional to 20,744 and 32,034
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Solution
The third proportional to 20,744 and 32,034 is: 49,468.62
Step by Step Solution
- Step 1: Write the proportion equation
20,744 : 32,034 = 32,034 : x - Step 2: Convert to fraction form
20,744/32,034 = 32,034/x - Step 3: Cross multiply
20,744x = 32,034 × 32,034 - Step 4: Simplify right side
20,744x = 1,026,177,156 - Step 5: Solve for x
x = 1,026,177,156/20,744 - Step 6: Final answer
x = 49,468.62
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.