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Finding the Third Proportional to 12,446 and 29,081

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Solution

The third proportional to 12,446 and 29,081 is: 67,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446 : 29,081 = 29,081 : x
  2. Step 2: Convert to fraction form
    12,446/29,081 = 29,081/x
  3. Step 3: Cross multiply
    12,446x = 29,081 × 29,081
  4. Step 4: Simplify right side
    12,446x = 845,704,561
  5. Step 5: Solve for x
    x = 845,704,561/12,446
  6. Step 6: Final answer
    x = 67,949.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.