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Finding the Third Proportional to 5,002 and 8,027

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Solution

The third proportional to 5,002 and 8,027 is: 12,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002 : 8,027 = 8,027 : x
  2. Step 2: Convert to fraction form
    5,002/8,027 = 8,027/x
  3. Step 3: Cross multiply
    5,002x = 8,027 × 8,027
  4. Step 4: Simplify right side
    5,002x = 64,432,729
  5. Step 5: Solve for x
    x = 64,432,729/5,002
  6. Step 6: Final answer
    x = 12,881.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.