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Finding the Third Proportional to 3,474 and 5,212.13

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Solution

The third proportional to 3,474 and 5,212.13 is: 7,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474 : 5,212.13 = 5,212.13 : x
  2. Step 2: Convert to fraction form
    3,474/5,212.13 = 5,212.13/x
  3. Step 3: Cross multiply
    3,474x = 5,212.13 × 5,212.13
  4. Step 4: Simplify right side
    3,474x = 27,166,247.02
  5. Step 5: Solve for x
    x = 27,166,247.02/3,474
  6. Step 6: Final answer
    x = 7,819.88

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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.