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Finding the Third Proportional to 24,257.25 and 38,572.88

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Solution

The third proportional to 24,257.25 and 38,572.88 is: 61,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.25 : 38,572.88 = 38,572.88 : x
  2. Step 2: Convert to fraction form
    24,257.25/38,572.88 = 38,572.88/x
  3. Step 3: Cross multiply
    24,257.25x = 38,572.88 × 38,572.88
  4. Step 4: Simplify right side
    24,257.25x = 1,487,866,685.77
  5. Step 5: Solve for x
    x = 1,487,866,685.77/24,257.25
  6. Step 6: Final answer
    x = 61,336.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.