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Finding the Third Proportional to 41,700 and 62,373

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Solution

The third proportional to 41,700 and 62,373 is: 93,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,700 : 62,373 = 62,373 : x
  2. Step 2: Convert to fraction form
    41,700/62,373 = 62,373/x
  3. Step 3: Cross multiply
    41,700x = 62,373 × 62,373
  4. Step 4: Simplify right side
    41,700x = 3,890,391,129
  5. Step 5: Solve for x
    x = 3,890,391,129/41,700
  6. Step 6: Final answer
    x = 93,294.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.