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Finding the Third Proportional to 41,281 and 55,742

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Solution

The third proportional to 41,281 and 55,742 is: 75,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,281 : 55,742 = 55,742 : x
  2. Step 2: Convert to fraction form
    41,281/55,742 = 55,742/x
  3. Step 3: Cross multiply
    41,281x = 55,742 × 55,742
  4. Step 4: Simplify right side
    41,281x = 3,107,170,564
  5. Step 5: Solve for x
    x = 3,107,170,564/41,281
  6. Step 6: Final answer
    x = 75,268.78

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.