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Finding the Third Proportional to 17,107.88 and 25,591.78

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Solution

The third proportional to 17,107.88 and 25,591.78 is: 38,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.88 : 25,591.78 = 25,591.78 : x
  2. Step 2: Convert to fraction form
    17,107.88/25,591.78 = 25,591.78/x
  3. Step 3: Cross multiply
    17,107.88x = 25,591.78 × 25,591.78
  4. Step 4: Simplify right side
    17,107.88x = 654,939,267.55
  5. Step 5: Solve for x
    x = 654,939,267.55/17,107.88
  6. Step 6: Final answer
    x = 38,282.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.