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Finding the Third Proportional to 3,192.75 and 4,147.88

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Solution

The third proportional to 3,192.75 and 4,147.88 is: 5,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.75 : 4,147.88 = 4,147.88 : x
  2. Step 2: Convert to fraction form
    3,192.75/4,147.88 = 4,147.88/x
  3. Step 3: Cross multiply
    3,192.75x = 4,147.88 × 4,147.88
  4. Step 4: Simplify right side
    3,192.75x = 17,204,867.02
  5. Step 5: Solve for x
    x = 17,204,867.02/3,192.75
  6. Step 6: Final answer
    x = 5,388.73

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.