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Finding the Third Proportional to 32,027 and 68,793

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Solution

The third proportional to 32,027 and 68,793 is: 147,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027 : 68,793 = 68,793 : x
  2. Step 2: Convert to fraction form
    32,027/68,793 = 68,793/x
  3. Step 3: Cross multiply
    32,027x = 68,793 × 68,793
  4. Step 4: Simplify right side
    32,027x = 4,732,476,849
  5. Step 5: Solve for x
    x = 4,732,476,849/32,027
  6. Step 6: Final answer
    x = 147,765.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.