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Finding the Third Proportional to 3,891.59 and 8,398.27

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Solution

The third proportional to 3,891.59 and 8,398.27 is: 18,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.59 : 8,398.27 = 8,398.27 : x
  2. Step 2: Convert to fraction form
    3,891.59/8,398.27 = 8,398.27/x
  3. Step 3: Cross multiply
    3,891.59x = 8,398.27 × 8,398.27
  4. Step 4: Simplify right side
    3,891.59x = 70,530,976.23
  5. Step 5: Solve for x
    x = 70,530,976.23/3,891.59
  6. Step 6: Final answer
    x = 18,123.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.