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Finding the Third Proportional to 5,843.39 and 8,542.97

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Solution

The third proportional to 5,843.39 and 8,542.97 is: 12,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.39 : 8,542.97 = 8,542.97 : x
  2. Step 2: Convert to fraction form
    5,843.39/8,542.97 = 8,542.97/x
  3. Step 3: Cross multiply
    5,843.39x = 8,542.97 × 8,542.97
  4. Step 4: Simplify right side
    5,843.39x = 72,982,315.06
  5. Step 5: Solve for x
    x = 72,982,315.06/5,843.39
  6. Step 6: Final answer
    x = 12,489.72

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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.