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Finding the Third Proportional to 23,843.25 and 51,836.63

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Solution

The third proportional to 23,843.25 and 51,836.63 is: 112,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.25 : 51,836.63 = 51,836.63 : x
  2. Step 2: Convert to fraction form
    23,843.25/51,836.63 = 51,836.63/x
  3. Step 3: Cross multiply
    23,843.25x = 51,836.63 × 51,836.63
  4. Step 4: Simplify right side
    23,843.25x = 2,687,035,691.39
  5. Step 5: Solve for x
    x = 2,687,035,691.39/23,843.25
  6. Step 6: Final answer
    x = 112,695.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.