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Finding the Third Proportional to 12,687.75 and 29,242.13

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Solution

The third proportional to 12,687.75 and 29,242.13 is: 67,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.75 : 29,242.13 = 29,242.13 : x
  2. Step 2: Convert to fraction form
    12,687.75/29,242.13 = 29,242.13/x
  3. Step 3: Cross multiply
    12,687.75x = 29,242.13 × 29,242.13
  4. Step 4: Simplify right side
    12,687.75x = 855,101,874.52
  5. Step 5: Solve for x
    x = 855,101,874.52/12,687.75
  6. Step 6: Final answer
    x = 67,395.86

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.