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Finding the Third Proportional to 17,512.75 and 38,002.38

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Solution

The third proportional to 17,512.75 and 38,002.38 is: 82,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,512.75 : 38,002.38 = 38,002.38 : x
  2. Step 2: Convert to fraction form
    17,512.75/38,002.38 = 38,002.38/x
  3. Step 3: Cross multiply
    17,512.75x = 38,002.38 × 38,002.38
  4. Step 4: Simplify right side
    17,512.75x = 1,444,180,505.64
  5. Step 5: Solve for x
    x = 1,444,180,505.64/17,512.75
  6. Step 6: Final answer
    x = 82,464.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.