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Finding the Third Proportional to 3,439.97 and 5,353.59

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Solution

The third proportional to 3,439.97 and 5,353.59 is: 8,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.97 : 5,353.59 = 5,353.59 : x
  2. Step 2: Convert to fraction form
    3,439.97/5,353.59 = 5,353.59/x
  3. Step 3: Cross multiply
    3,439.97x = 5,353.59 × 5,353.59
  4. Step 4: Simplify right side
    3,439.97x = 28,660,966.04
  5. Step 5: Solve for x
    x = 28,660,966.04/3,439.97
  6. Step 6: Final answer
    x = 8,331.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.