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Finding the Third Proportional to 38,450.25 and 54,122.25

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Solution

The third proportional to 38,450.25 and 54,122.25 is: 76,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,450.25 : 54,122.25 = 54,122.25 : x
  2. Step 2: Convert to fraction form
    38,450.25/54,122.25 = 54,122.25/x
  3. Step 3: Cross multiply
    38,450.25x = 54,122.25 × 54,122.25
  4. Step 4: Simplify right side
    38,450.25x = 2,929,217,945.06
  5. Step 5: Solve for x
    x = 2,929,217,945.06/38,450.25
  6. Step 6: Final answer
    x = 76,182.03

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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.