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Finding the Third Proportional to 11,742 and 13,542

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Solution

The third proportional to 11,742 and 13,542 is: 15,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 13,542 = 13,542 : x
  2. Step 2: Convert to fraction form
    11,742/13,542 = 13,542/x
  3. Step 3: Cross multiply
    11,742x = 13,542 × 13,542
  4. Step 4: Simplify right side
    11,742x = 183,385,764
  5. Step 5: Solve for x
    x = 183,385,764/11,742
  6. Step 6: Final answer
    x = 15,617.93

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.