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Finding the Third Proportional to 17,634.38 and 38,508.75

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Solution

The third proportional to 17,634.38 and 38,508.75 is: 84,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.38 : 38,508.75 = 38,508.75 : x
  2. Step 2: Convert to fraction form
    17,634.38/38,508.75 = 38,508.75/x
  3. Step 3: Cross multiply
    17,634.38x = 38,508.75 × 38,508.75
  4. Step 4: Simplify right side
    17,634.38x = 1,482,923,826.56
  5. Step 5: Solve for x
    x = 1,482,923,826.56/17,634.38
  6. Step 6: Final answer
    x = 84,092.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.