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Finding the Third Proportional to 4,427 and 5,027

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Solution

The third proportional to 4,427 and 5,027 is: 5,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427 : 5,027 = 5,027 : x
  2. Step 2: Convert to fraction form
    4,427/5,027 = 5,027/x
  3. Step 3: Cross multiply
    4,427x = 5,027 × 5,027
  4. Step 4: Simplify right side
    4,427x = 25,270,729
  5. Step 5: Solve for x
    x = 25,270,729/4,427
  6. Step 6: Final answer
    x = 5,708.32

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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.