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Finding the Third Proportional to 17,687.25 and 24,033.38

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Solution

The third proportional to 17,687.25 and 24,033.38 is: 32,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.25 : 24,033.38 = 24,033.38 : x
  2. Step 2: Convert to fraction form
    17,687.25/24,033.38 = 24,033.38/x
  3. Step 3: Cross multiply
    17,687.25x = 24,033.38 × 24,033.38
  4. Step 4: Simplify right side
    17,687.25x = 577,603,113.89
  5. Step 5: Solve for x
    x = 577,603,113.89/17,687.25
  6. Step 6: Final answer
    x = 32,656.47

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.