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Finding the Third Proportional to 17,197.05 and 25,716.52

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Solution

The third proportional to 17,197.05 and 25,716.52 is: 38,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.05 : 25,716.52 = 25,716.52 : x
  2. Step 2: Convert to fraction form
    17,197.05/25,716.52 = 25,716.52/x
  3. Step 3: Cross multiply
    17,197.05x = 25,716.52 × 25,716.52
  4. Step 4: Simplify right side
    17,197.05x = 661,339,175.89
  5. Step 5: Solve for x
    x = 661,339,175.89/17,197.05
  6. Step 6: Final answer
    x = 38,456.54

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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.