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Finding the Third Proportional to 38,049 and 54,083

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Solution

The third proportional to 38,049 and 54,083 is: 76,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049 : 54,083 = 54,083 : x
  2. Step 2: Convert to fraction form
    38,049/54,083 = 54,083/x
  3. Step 3: Cross multiply
    38,049x = 54,083 × 54,083
  4. Step 4: Simplify right side
    38,049x = 2,924,970,889
  5. Step 5: Solve for x
    x = 2,924,970,889/38,049
  6. Step 6: Final answer
    x = 76,873.79

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Why These Related Problems?

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