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Finding the Third Proportional to 8,439.82 and 18,398.39

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Solution

The third proportional to 8,439.82 and 18,398.39 is: 40,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.82 : 18,398.39 = 18,398.39 : x
  2. Step 2: Convert to fraction form
    8,439.82/18,398.39 = 18,398.39/x
  3. Step 3: Cross multiply
    8,439.82x = 18,398.39 × 18,398.39
  4. Step 4: Simplify right side
    8,439.82x = 338,500,777.59
  5. Step 5: Solve for x
    x = 338,500,777.59/8,439.82
  6. Step 6: Final answer
    x = 40,107.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.