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Finding the Third Proportional to 25,229.25 and 59,470.88

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Solution

The third proportional to 25,229.25 and 59,470.88 is: 140,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,229.25 : 59,470.88 = 59,470.88 : x
  2. Step 2: Convert to fraction form
    25,229.25/59,470.88 = 59,470.88/x
  3. Step 3: Cross multiply
    25,229.25x = 59,470.88 × 59,470.88
  4. Step 4: Simplify right side
    25,229.25x = 3,536,784,973.27
  5. Step 5: Solve for x
    x = 3,536,784,973.27/25,229.25
  6. Step 6: Final answer
    x = 140,185.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.