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Finding the Third Proportional to 36,629 and 54,932

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Solution

The third proportional to 36,629 and 54,932 is: 82,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,629 : 54,932 = 54,932 : x
  2. Step 2: Convert to fraction form
    36,629/54,932 = 54,932/x
  3. Step 3: Cross multiply
    36,629x = 54,932 × 54,932
  4. Step 4: Simplify right side
    36,629x = 3,017,524,624
  5. Step 5: Solve for x
    x = 3,017,524,624/36,629
  6. Step 6: Final answer
    x = 82,380.75

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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.