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Finding the Third Proportional to 27,380 and 38,147

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Solution

The third proportional to 27,380 and 38,147 is: 53,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380 : 38,147 = 38,147 : x
  2. Step 2: Convert to fraction form
    27,380/38,147 = 38,147/x
  3. Step 3: Cross multiply
    27,380x = 38,147 × 38,147
  4. Step 4: Simplify right side
    27,380x = 1,455,193,609
  5. Step 5: Solve for x
    x = 1,455,193,609/27,380
  6. Step 6: Final answer
    x = 53,148.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.