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Finding the Third Proportional to 36,027 and 73,836

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Solution

The third proportional to 36,027 and 73,836 is: 151,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027 : 73,836 = 73,836 : x
  2. Step 2: Convert to fraction form
    36,027/73,836 = 73,836/x
  3. Step 3: Cross multiply
    36,027x = 73,836 × 73,836
  4. Step 4: Simplify right side
    36,027x = 5,451,754,896
  5. Step 5: Solve for x
    x = 5,451,754,896/36,027
  6. Step 6: Final answer
    x = 151,324.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.