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Finding the Third Proportional to 27,961 and 55,901

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Solution

The third proportional to 27,961 and 55,901 is: 111,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961 : 55,901 = 55,901 : x
  2. Step 2: Convert to fraction form
    27,961/55,901 = 55,901/x
  3. Step 3: Cross multiply
    27,961x = 55,901 × 55,901
  4. Step 4: Simplify right side
    27,961x = 3,124,921,801
  5. Step 5: Solve for x
    x = 3,124,921,801/27,961
  6. Step 6: Final answer
    x = 111,760.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.