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Finding the Third Proportional to 3,893.06 and 5,491.97

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Solution

The third proportional to 3,893.06 and 5,491.97 is: 7,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.06 : 5,491.97 = 5,491.97 : x
  2. Step 2: Convert to fraction form
    3,893.06/5,491.97 = 5,491.97/x
  3. Step 3: Cross multiply
    3,893.06x = 5,491.97 × 5,491.97
  4. Step 4: Simplify right side
    3,893.06x = 30,161,720.75
  5. Step 5: Solve for x
    x = 30,161,720.75/3,893.06
  6. Step 6: Final answer
    x = 7,747.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.