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Finding the Third Proportional to 41,912 and 60,612

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Solution

The third proportional to 41,912 and 60,612 is: 87,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,912 : 60,612 = 60,612 : x
  2. Step 2: Convert to fraction form
    41,912/60,612 = 60,612/x
  3. Step 3: Cross multiply
    41,912x = 60,612 × 60,612
  4. Step 4: Simplify right side
    41,912x = 3,673,814,544
  5. Step 5: Solve for x
    x = 3,673,814,544/41,912
  6. Step 6: Final answer
    x = 87,655.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.