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Finding the Third Proportional to 4,524.75 and 5,082.75

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Solution

The third proportional to 4,524.75 and 5,082.75 is: 5,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.75 : 5,082.75 = 5,082.75 : x
  2. Step 2: Convert to fraction form
    4,524.75/5,082.75 = 5,082.75/x
  3. Step 3: Cross multiply
    4,524.75x = 5,082.75 × 5,082.75
  4. Step 4: Simplify right side
    4,524.75x = 25,834,347.56
  5. Step 5: Solve for x
    x = 25,834,347.56/4,524.75
  6. Step 6: Final answer
    x = 5,709.56

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.