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Finding the Third Proportional to 36,674 and 63,939

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Solution

The third proportional to 36,674 and 63,939 is: 111,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,674 : 63,939 = 63,939 : x
  2. Step 2: Convert to fraction form
    36,674/63,939 = 63,939/x
  3. Step 3: Cross multiply
    36,674x = 63,939 × 63,939
  4. Step 4: Simplify right side
    36,674x = 4,088,195,721
  5. Step 5: Solve for x
    x = 4,088,195,721/36,674
  6. Step 6: Final answer
    x = 111,473.95

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.