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Finding the Third Proportional to 3,414.38 and 5,220.75

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Solution

The third proportional to 3,414.38 and 5,220.75 is: 7,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.38 : 5,220.75 = 5,220.75 : x
  2. Step 2: Convert to fraction form
    3,414.38/5,220.75 = 5,220.75/x
  3. Step 3: Cross multiply
    3,414.38x = 5,220.75 × 5,220.75
  4. Step 4: Simplify right side
    3,414.38x = 27,256,230.56
  5. Step 5: Solve for x
    x = 27,256,230.56/3,414.38
  6. Step 6: Final answer
    x = 7,982.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.