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Finding the Third Proportional to 27,739 and 60,662

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Solution

The third proportional to 27,739 and 60,662 is: 132,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739 : 60,662 = 60,662 : x
  2. Step 2: Convert to fraction form
    27,739/60,662 = 60,662/x
  3. Step 3: Cross multiply
    27,739x = 60,662 × 60,662
  4. Step 4: Simplify right side
    27,739x = 3,679,878,244
  5. Step 5: Solve for x
    x = 3,679,878,244/27,739
  6. Step 6: Final answer
    x = 132,660.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.