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Finding the Third Proportional to 8,098.73 and 17,697.23

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Solution

The third proportional to 8,098.73 and 17,697.23 is: 38,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.73 : 17,697.23 = 17,697.23 : x
  2. Step 2: Convert to fraction form
    8,098.73/17,697.23 = 17,697.23/x
  3. Step 3: Cross multiply
    8,098.73x = 17,697.23 × 17,697.23
  4. Step 4: Simplify right side
    8,098.73x = 313,192,104.52
  5. Step 5: Solve for x
    x = 313,192,104.52/8,098.73
  6. Step 6: Final answer
    x = 38,671.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.