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Finding the Third Proportional to 2,015.44 and 3,082.78

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Solution

The third proportional to 2,015.44 and 3,082.78 is: 4,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.44 : 3,082.78 = 3,082.78 : x
  2. Step 2: Convert to fraction form
    2,015.44/3,082.78 = 3,082.78/x
  3. Step 3: Cross multiply
    2,015.44x = 3,082.78 × 3,082.78
  4. Step 4: Simplify right side
    2,015.44x = 9,503,540.24
  5. Step 5: Solve for x
    x = 9,503,540.24/2,015.44
  6. Step 6: Final answer
    x = 4,715.37

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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.