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Finding the Third Proportional to 11,542 and 12,742

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Solution

The third proportional to 11,542 and 12,742 is: 14,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542 : 12,742 = 12,742 : x
  2. Step 2: Convert to fraction form
    11,542/12,742 = 12,742/x
  3. Step 3: Cross multiply
    11,542x = 12,742 × 12,742
  4. Step 4: Simplify right side
    11,542x = 162,358,564
  5. Step 5: Solve for x
    x = 162,358,564/11,542
  6. Step 6: Final answer
    x = 14,066.76

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.