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Finding the Third Proportional to 36,012 and 54,018

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Solution

The third proportional to 36,012 and 54,018 is: 81,027

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,012 : 54,018 = 54,018 : x
  2. Step 2: Convert to fraction form
    36,012/54,018 = 54,018/x
  3. Step 3: Cross multiply
    36,012x = 54,018 × 54,018
  4. Step 4: Simplify right side
    36,012x = 2,917,944,324
  5. Step 5: Solve for x
    x = 2,917,944,324/36,012
  6. Step 6: Final answer
    x = 81,027

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.