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Finding the Third Proportional to 3,998.11 and 5,843.39

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Solution

The third proportional to 3,998.11 and 5,843.39 is: 8,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.11 : 5,843.39 = 5,843.39 : x
  2. Step 2: Convert to fraction form
    3,998.11/5,843.39 = 5,843.39/x
  3. Step 3: Cross multiply
    3,998.11x = 5,843.39 × 5,843.39
  4. Step 4: Simplify right side
    3,998.11x = 34,145,214.00
  5. Step 5: Solve for x
    x = 34,145,214.00/3,998.11
  6. Step 6: Final answer
    x = 8,540.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.