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Finding the Third Proportional to 26,739 and 54,127

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Solution

The third proportional to 26,739 and 54,127 is: 109,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,739 : 54,127 = 54,127 : x
  2. Step 2: Convert to fraction form
    26,739/54,127 = 54,127/x
  3. Step 3: Cross multiply
    26,739x = 54,127 × 54,127
  4. Step 4: Simplify right side
    26,739x = 2,929,732,129
  5. Step 5: Solve for x
    x = 2,929,732,129/26,739
  6. Step 6: Final answer
    x = 109,567.75

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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.