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Finding the Third Proportional to 38,049.75 and 54,083.25

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Solution

The third proportional to 38,049.75 and 54,083.25 is: 76,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.75 : 54,083.25 = 54,083.25 : x
  2. Step 2: Convert to fraction form
    38,049.75/54,083.25 = 54,083.25/x
  3. Step 3: Cross multiply
    38,049.75x = 54,083.25 × 54,083.25
  4. Step 4: Simplify right side
    38,049.75x = 2,924,997,930.56
  5. Step 5: Solve for x
    x = 2,924,997,930.56/38,049.75
  6. Step 6: Final answer
    x = 76,872.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.