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Finding the Third Proportional to 3,997.69 and 5,226.75

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Solution

The third proportional to 3,997.69 and 5,226.75 is: 6,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.69 : 5,226.75 = 5,226.75 : x
  2. Step 2: Convert to fraction form
    3,997.69/5,226.75 = 5,226.75/x
  3. Step 3: Cross multiply
    3,997.69x = 5,226.75 × 5,226.75
  4. Step 4: Simplify right side
    3,997.69x = 27,318,915.56
  5. Step 5: Solve for x
    x = 27,318,915.56/3,997.69
  6. Step 6: Final answer
    x = 6,833.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.