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Finding the Third Proportional to 23,732.25 and 52,201.13

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Solution

The third proportional to 23,732.25 and 52,201.13 is: 114,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.25 : 52,201.13 = 52,201.13 : x
  2. Step 2: Convert to fraction form
    23,732.25/52,201.13 = 52,201.13/x
  3. Step 3: Cross multiply
    23,732.25x = 52,201.13 × 52,201.13
  4. Step 4: Simplify right side
    23,732.25x = 2,724,957,451.27
  5. Step 5: Solve for x
    x = 2,724,957,451.27/23,732.25
  6. Step 6: Final answer
    x = 114,820.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.