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Finding the Third Proportional to 36,264 and 54,228

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Solution

The third proportional to 36,264 and 54,228 is: 81,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,264 : 54,228 = 54,228 : x
  2. Step 2: Convert to fraction form
    36,264/54,228 = 54,228/x
  3. Step 3: Cross multiply
    36,264x = 54,228 × 54,228
  4. Step 4: Simplify right side
    36,264x = 2,940,675,984
  5. Step 5: Solve for x
    x = 2,940,675,984/36,264
  6. Step 6: Final answer
    x = 81,090.78

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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.