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Finding the Third Proportional to 29,682 and 41,499

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Solution

The third proportional to 29,682 and 41,499 is: 58,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 41,499 = 41,499 : x
  2. Step 2: Convert to fraction form
    29,682/41,499 = 41,499/x
  3. Step 3: Cross multiply
    29,682x = 41,499 × 41,499
  4. Step 4: Simplify right side
    29,682x = 1,722,167,001
  5. Step 5: Solve for x
    x = 1,722,167,001/29,682
  6. Step 6: Final answer
    x = 58,020.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.