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Finding the Third Proportional to 33,180 and 48,802

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Solution

The third proportional to 33,180 and 48,802 is: 71,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180 : 48,802 = 48,802 : x
  2. Step 2: Convert to fraction form
    33,180/48,802 = 48,802/x
  3. Step 3: Cross multiply
    33,180x = 48,802 × 48,802
  4. Step 4: Simplify right side
    33,180x = 2,381,635,204
  5. Step 5: Solve for x
    x = 2,381,635,204/33,180
  6. Step 6: Final answer
    x = 71,779.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.