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Finding the Third Proportional to 3,294.50 and 7,874.75

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Solution

The third proportional to 3,294.50 and 7,874.75 is: 18,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.50 : 7,874.75 = 7,874.75 : x
  2. Step 2: Convert to fraction form
    3,294.50/7,874.75 = 7,874.75/x
  3. Step 3: Cross multiply
    3,294.50x = 7,874.75 × 7,874.75
  4. Step 4: Simplify right side
    3,294.50x = 62,011,687.56
  5. Step 5: Solve for x
    x = 62,011,687.56/3,294.50
  6. Step 6: Final answer
    x = 18,822.79

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.