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Finding the Third Proportional to 41,756 and 73,592

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Solution

The third proportional to 41,756 and 73,592 is: 129,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,756 : 73,592 = 73,592 : x
  2. Step 2: Convert to fraction form
    41,756/73,592 = 73,592/x
  3. Step 3: Cross multiply
    41,756x = 73,592 × 73,592
  4. Step 4: Simplify right side
    41,756x = 5,415,782,464
  5. Step 5: Solve for x
    x = 5,415,782,464/41,756
  6. Step 6: Final answer
    x = 129,700.70

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.