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Finding the Third Proportional to 24,978.31 and 52,265.88

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Solution

The third proportional to 24,978.31 and 52,265.88 is: 109,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.31 : 52,265.88 = 52,265.88 : x
  2. Step 2: Convert to fraction form
    24,978.31/52,265.88 = 52,265.88/x
  3. Step 3: Cross multiply
    24,978.31x = 52,265.88 × 52,265.88
  4. Step 4: Simplify right side
    24,978.31x = 2,731,721,689.52
  5. Step 5: Solve for x
    x = 2,731,721,689.52/24,978.31
  6. Step 6: Final answer
    x = 109,363.74

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.