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Finding the Third Proportional to 41,834 and 62,031

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Solution

The third proportional to 41,834 and 62,031 is: 91,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834 : 62,031 = 62,031 : x
  2. Step 2: Convert to fraction form
    41,834/62,031 = 62,031/x
  3. Step 3: Cross multiply
    41,834x = 62,031 × 62,031
  4. Step 4: Simplify right side
    41,834x = 3,847,844,961
  5. Step 5: Solve for x
    x = 3,847,844,961/41,834
  6. Step 6: Final answer
    x = 91,978.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.