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Finding the Third Proportional to 38,450.50 and 54,122

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Solution

The third proportional to 38,450.50 and 54,122 is: 76,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,450.50 : 54,122 = 54,122 : x
  2. Step 2: Convert to fraction form
    38,450.50/54,122 = 54,122/x
  3. Step 3: Cross multiply
    38,450.50x = 54,122 × 54,122
  4. Step 4: Simplify right side
    38,450.50x = 2,929,190,884
  5. Step 5: Solve for x
    x = 2,929,190,884/38,450.50
  6. Step 6: Final answer
    x = 76,180.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.