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Finding the Third Proportional to 23,851.97 and 52,470.91

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Solution

The third proportional to 23,851.97 and 52,470.91 is: 115,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.97 : 52,470.91 = 52,470.91 : x
  2. Step 2: Convert to fraction form
    23,851.97/52,470.91 = 52,470.91/x
  3. Step 3: Cross multiply
    23,851.97x = 52,470.91 × 52,470.91
  4. Step 4: Simplify right side
    23,851.97x = 2,753,196,822.55
  5. Step 5: Solve for x
    x = 2,753,196,822.55/23,851.97
  6. Step 6: Final answer
    x = 115,428.49

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