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Finding the Third Proportional to 36,612 and 54,792

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Solution

The third proportional to 36,612 and 54,792 is: 81,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,612 : 54,792 = 54,792 : x
  2. Step 2: Convert to fraction form
    36,612/54,792 = 54,792/x
  3. Step 3: Cross multiply
    36,612x = 54,792 × 54,792
  4. Step 4: Simplify right side
    36,612x = 3,002,163,264
  5. Step 5: Solve for x
    x = 3,002,163,264/36,612
  6. Step 6: Final answer
    x = 81,999.43

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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.