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Finding the Third Proportional to 10,654 and 16,542

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Solution

The third proportional to 10,654 and 16,542 is: 25,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654 : 16,542 = 16,542 : x
  2. Step 2: Convert to fraction form
    10,654/16,542 = 16,542/x
  3. Step 3: Cross multiply
    10,654x = 16,542 × 16,542
  4. Step 4: Simplify right side
    10,654x = 273,637,764
  5. Step 5: Solve for x
    x = 273,637,764/10,654
  6. Step 6: Final answer
    x = 25,684.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.