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Finding the Third Proportional to 36,027 and 78,615

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Solution

The third proportional to 36,027 and 78,615 is: 171,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027 : 78,615 = 78,615 : x
  2. Step 2: Convert to fraction form
    36,027/78,615 = 78,615/x
  3. Step 3: Cross multiply
    36,027x = 78,615 × 78,615
  4. Step 4: Simplify right side
    36,027x = 6,180,318,225
  5. Step 5: Solve for x
    x = 6,180,318,225/36,027
  6. Step 6: Final answer
    x = 171,546.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.