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Finding the Third Proportional to 23,712.75 and 55,414.13

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Solution

The third proportional to 23,712.75 and 55,414.13 is: 129,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.75 : 55,414.13 = 55,414.13 : x
  2. Step 2: Convert to fraction form
    23,712.75/55,414.13 = 55,414.13/x
  3. Step 3: Cross multiply
    23,712.75x = 55,414.13 × 55,414.13
  4. Step 4: Simplify right side
    23,712.75x = 3,070,725,249.52
  5. Step 5: Solve for x
    x = 3,070,725,249.52/23,712.75
  6. Step 6: Final answer
    x = 129,496.80

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