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Finding the Third Proportional to 23,947.31 and 52,039.88

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Solution

The third proportional to 23,947.31 and 52,039.88 is: 113,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,947.31 : 52,039.88 = 52,039.88 : x
  2. Step 2: Convert to fraction form
    23,947.31/52,039.88 = 52,039.88/x
  3. Step 3: Cross multiply
    23,947.31x = 52,039.88 × 52,039.88
  4. Step 4: Simplify right side
    23,947.31x = 2,708,148,590.02
  5. Step 5: Solve for x
    x = 2,708,148,590.02/23,947.31
  6. Step 6: Final answer
    x = 113,087.79

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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.