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Finding the Third Proportional to 3,481.88 and 5,223.66

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Solution

The third proportional to 3,481.88 and 5,223.66 is: 7,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.88 : 5,223.66 = 5,223.66 : x
  2. Step 2: Convert to fraction form
    3,481.88/5,223.66 = 5,223.66/x
  3. Step 3: Cross multiply
    3,481.88x = 5,223.66 × 5,223.66
  4. Step 4: Simplify right side
    3,481.88x = 27,286,584.62
  5. Step 5: Solve for x
    x = 27,286,584.62/3,481.88
  6. Step 6: Final answer
    x = 7,836.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.