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Finding the Third Proportional to 24,634.13 and 52,963.88

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Solution

The third proportional to 24,634.13 and 52,963.88 is: 113,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.13 : 52,963.88 = 52,963.88 : x
  2. Step 2: Convert to fraction form
    24,634.13/52,963.88 = 52,963.88/x
  3. Step 3: Cross multiply
    24,634.13x = 52,963.88 × 52,963.88
  4. Step 4: Simplify right side
    24,634.13x = 2,805,172,055.02
  5. Step 5: Solve for x
    x = 2,805,172,055.02/24,634.13
  6. Step 6: Final answer
    x = 113,873.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.