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Finding the Third Proportional to 17,098.13 and 25,578.75

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Solution

The third proportional to 17,098.13 and 25,578.75 is: 38,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.13 : 25,578.75 = 25,578.75 : x
  2. Step 2: Convert to fraction form
    17,098.13/25,578.75 = 25,578.75/x
  3. Step 3: Cross multiply
    17,098.13x = 25,578.75 × 25,578.75
  4. Step 4: Simplify right side
    17,098.13x = 654,272,451.56
  5. Step 5: Solve for x
    x = 654,272,451.56/17,098.13
  6. Step 6: Final answer
    x = 38,265.74

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Why These Related Problems?

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