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Finding the Third Proportional to 3,129.75 and 3,372.75

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Solution

The third proportional to 3,129.75 and 3,372.75 is: 3,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.75 : 3,372.75 = 3,372.75 : x
  2. Step 2: Convert to fraction form
    3,129.75/3,372.75 = 3,372.75/x
  3. Step 3: Cross multiply
    3,129.75x = 3,372.75 × 3,372.75
  4. Step 4: Simplify right side
    3,129.75x = 11,375,442.56
  5. Step 5: Solve for x
    x = 11,375,442.56/3,129.75
  6. Step 6: Final answer
    x = 3,634.62

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.