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Finding the Third Proportional to 40,612 and 62,503

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Solution

The third proportional to 40,612 and 62,503 is: 96,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,612 : 62,503 = 62,503 : x
  2. Step 2: Convert to fraction form
    40,612/62,503 = 62,503/x
  3. Step 3: Cross multiply
    40,612x = 62,503 × 62,503
  4. Step 4: Simplify right side
    40,612x = 3,906,625,009
  5. Step 5: Solve for x
    x = 3,906,625,009/40,612
  6. Step 6: Final answer
    x = 96,193.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.