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Finding the Third Proportional to 41,934 and 62,733

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Solution

The third proportional to 41,934 and 62,733 is: 93,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,934 : 62,733 = 62,733 : x
  2. Step 2: Convert to fraction form
    41,934/62,733 = 62,733/x
  3. Step 3: Cross multiply
    41,934x = 62,733 × 62,733
  4. Step 4: Simplify right side
    41,934x = 3,935,429,289
  5. Step 5: Solve for x
    x = 3,935,429,289/41,934
  6. Step 6: Final answer
    x = 93,848.17

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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.