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Finding the Third Proportional to 24,079.78 and 51,865.31

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Solution

The third proportional to 24,079.78 and 51,865.31 is: 111,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,079.78 : 51,865.31 = 51,865.31 : x
  2. Step 2: Convert to fraction form
    24,079.78/51,865.31 = 51,865.31/x
  3. Step 3: Cross multiply
    24,079.78x = 51,865.31 × 51,865.31
  4. Step 4: Simplify right side
    24,079.78x = 2,690,010,640.72
  5. Step 5: Solve for x
    x = 2,690,010,640.72/24,079.78
  6. Step 6: Final answer
    x = 111,712.42

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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.