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Finding the Third Proportional to 41,540 and 62,742

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Solution

The third proportional to 41,540 and 62,742 is: 94,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,540 : 62,742 = 62,742 : x
  2. Step 2: Convert to fraction form
    41,540/62,742 = 62,742/x
  3. Step 3: Cross multiply
    41,540x = 62,742 × 62,742
  4. Step 4: Simplify right side
    41,540x = 3,936,558,564
  5. Step 5: Solve for x
    x = 3,936,558,564/41,540
  6. Step 6: Final answer
    x = 94,765.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.