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Finding the Third Proportional to 27,961 and 60,844

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Solution

The third proportional to 27,961 and 60,844 is: 132,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961 : 60,844 = 60,844 : x
  2. Step 2: Convert to fraction form
    27,961/60,844 = 60,844/x
  3. Step 3: Cross multiply
    27,961x = 60,844 × 60,844
  4. Step 4: Simplify right side
    27,961x = 3,701,992,336
  5. Step 5: Solve for x
    x = 3,701,992,336/27,961
  6. Step 6: Final answer
    x = 132,398.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.