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Finding the Third Proportional to 3,978 and 4,524.75

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Solution

The third proportional to 3,978 and 4,524.75 is: 5,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978 : 4,524.75 = 4,524.75 : x
  2. Step 2: Convert to fraction form
    3,978/4,524.75 = 4,524.75/x
  3. Step 3: Cross multiply
    3,978x = 4,524.75 × 4,524.75
  4. Step 4: Simplify right side
    3,978x = 20,473,362.56
  5. Step 5: Solve for x
    x = 20,473,362.56/3,978
  6. Step 6: Final answer
    x = 5,146.65

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.