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Finding the Third Proportional to 33,972 and 48,932

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Solution

The third proportional to 33,972 and 48,932 is: 70,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,972 : 48,932 = 48,932 : x
  2. Step 2: Convert to fraction form
    33,972/48,932 = 48,932/x
  3. Step 3: Cross multiply
    33,972x = 48,932 × 48,932
  4. Step 4: Simplify right side
    33,972x = 2,394,340,624
  5. Step 5: Solve for x
    x = 2,394,340,624/33,972
  6. Step 6: Final answer
    x = 70,479.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.