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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

  1. Step 1: Write the proportion equation
    10,741 : 16,432 = 16,432 : x
  2. Step 2: Convert to fraction form
    10,741/16,432 = 16,432/x
  3. Step 3: Cross multiply
    10,741x = 16,432 × 16,432
  4. Step 4: Simplify right side
    10,741x = 270,010,624
  5. Step 5: Solve for x
    x = 270,010,624/10,741
  6. 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.