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Finding the Third Proportional to 27,837 and 60,147

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Solution

The third proportional to 27,837 and 60,147 is: 129,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837 : 60,147 = 60,147 : x
  2. Step 2: Convert to fraction form
    27,837/60,147 = 60,147/x
  3. Step 3: Cross multiply
    27,837x = 60,147 × 60,147
  4. Step 4: Simplify right side
    27,837x = 3,617,661,609
  5. Step 5: Solve for x
    x = 3,617,661,609/27,837
  6. Step 6: Final answer
    x = 129,958.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.