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Finding the Third Proportional to 17,863.88 and 24,517.69

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Solution

The third proportional to 17,863.88 and 24,517.69 is: 33,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.88 : 24,517.69 = 24,517.69 : x
  2. Step 2: Convert to fraction form
    17,863.88/24,517.69 = 24,517.69/x
  3. Step 3: Cross multiply
    17,863.88x = 24,517.69 × 24,517.69
  4. Step 4: Simplify right side
    17,863.88x = 601,117,000.35
  5. Step 5: Solve for x
    x = 601,117,000.35/17,863.88
  6. Step 6: Final answer
    x = 33,649.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.