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Finding the Third Proportional to 26,738 and 54,125

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Solution

The third proportional to 26,738 and 54,125 is: 109,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,738 : 54,125 = 54,125 : x
  2. Step 2: Convert to fraction form
    26,738/54,125 = 54,125/x
  3. Step 3: Cross multiply
    26,738x = 54,125 × 54,125
  4. Step 4: Simplify right side
    26,738x = 2,929,515,625
  5. Step 5: Solve for x
    x = 2,929,515,625/26,738
  6. Step 6: Final answer
    x = 109,563.75

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.