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Finding the Third Proportional to 36,624 and 54,912

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Solution

The third proportional to 36,624 and 54,912 is: 82,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,624 : 54,912 = 54,912 : x
  2. Step 2: Convert to fraction form
    36,624/54,912 = 54,912/x
  3. Step 3: Cross multiply
    36,624x = 54,912 × 54,912
  4. Step 4: Simplify right side
    36,624x = 3,015,327,744
  5. Step 5: Solve for x
    x = 3,015,327,744/36,624
  6. Step 6: Final answer
    x = 82,332.02

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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.