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Finding the Third Proportional to 41,591 and 73,948

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Solution

The third proportional to 41,591 and 73,948 is: 131,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,591 : 73,948 = 73,948 : x
  2. Step 2: Convert to fraction form
    41,591/73,948 = 73,948/x
  3. Step 3: Cross multiply
    41,591x = 73,948 × 73,948
  4. Step 4: Simplify right side
    41,591x = 5,468,306,704
  5. Step 5: Solve for x
    x = 5,468,306,704/41,591
  6. Step 6: Final answer
    x = 131,478.13

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.