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Finding the Third Proportional to 5,410.97 and 8,458.17

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Solution

The third proportional to 5,410.97 and 8,458.17 is: 13,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.97 : 8,458.17 = 8,458.17 : x
  2. Step 2: Convert to fraction form
    5,410.97/8,458.17 = 8,458.17/x
  3. Step 3: Cross multiply
    5,410.97x = 8,458.17 × 8,458.17
  4. Step 4: Simplify right side
    5,410.97x = 71,540,671.47
  5. Step 5: Solve for x
    x = 71,540,671.47/5,410.97
  6. Step 6: Final answer
    x = 13,221.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.