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Finding the Third Proportional to 26,961 and 54,651

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Solution

The third proportional to 26,961 and 54,651 is: 110,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,961 : 54,651 = 54,651 : x
  2. Step 2: Convert to fraction form
    26,961/54,651 = 54,651/x
  3. Step 3: Cross multiply
    26,961x = 54,651 × 54,651
  4. Step 4: Simplify right side
    26,961x = 2,986,731,801
  5. Step 5: Solve for x
    x = 2,986,731,801/26,961
  6. Step 6: Final answer
    x = 110,779.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.