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Finding the Third Proportional to 24,257.81 and 38,573.72

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Solution

The third proportional to 24,257.81 and 38,573.72 is: 61,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.81 : 38,573.72 = 38,573.72 : x
  2. Step 2: Convert to fraction form
    24,257.81/38,573.72 = 38,573.72/x
  3. Step 3: Cross multiply
    24,257.81x = 38,573.72 × 38,573.72
  4. Step 4: Simplify right side
    24,257.81x = 1,487,931,778.20
  5. Step 5: Solve for x
    x = 1,487,931,778.20/24,257.81
  6. Step 6: Final answer
    x = 61,338.25

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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.