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Finding the Third Proportional to 2,729.25 and 4,082.25

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Solution

The third proportional to 2,729.25 and 4,082.25 is: 6,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.25 : 4,082.25 = 4,082.25 : x
  2. Step 2: Convert to fraction form
    2,729.25/4,082.25 = 4,082.25/x
  3. Step 3: Cross multiply
    2,729.25x = 4,082.25 × 4,082.25
  4. Step 4: Simplify right side
    2,729.25x = 16,664,765.06
  5. Step 5: Solve for x
    x = 16,664,765.06/2,729.25
  6. Step 6: Final answer
    x = 6,105.99

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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.