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Finding the Third Proportional to 27,847 and 60,072

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Solution

The third proportional to 27,847 and 60,072 is: 129,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847 : 60,072 = 60,072 : x
  2. Step 2: Convert to fraction form
    27,847/60,072 = 60,072/x
  3. Step 3: Cross multiply
    27,847x = 60,072 × 60,072
  4. Step 4: Simplify right side
    27,847x = 3,608,645,184
  5. Step 5: Solve for x
    x = 3,608,645,184/27,847
  6. Step 6: Final answer
    x = 129,588.29

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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.