Finding the Third Proportional to 10,741 and 16,432
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Solution
The third proportional to 10,741 and 16,432 is: 25,138.31
Step by Step Solution
- Step 1: Write the proportion equation
10,741 : 16,432 = 16,432 : x - Step 2: Convert to fraction form
10,741/16,432 = 16,432/x - Step 3: Cross multiply
10,741x = 16,432 × 16,432 - Step 4: Simplify right side
10,741x = 270,010,624 - Step 5: Solve for x
x = 270,010,624/10,741 - Step 6: Final answer
x = 25,138.31
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.