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Finding the Third Proportional to 26,631 and 54,018

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Solution

The third proportional to 26,631 and 54,018 is: 109,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,631 : 54,018 = 54,018 : x
  2. Step 2: Convert to fraction form
    26,631/54,018 = 54,018/x
  3. Step 3: Cross multiply
    26,631x = 54,018 × 54,018
  4. Step 4: Simplify right side
    26,631x = 2,917,944,324
  5. Step 5: Solve for x
    x = 2,917,944,324/26,631
  6. Step 6: Final answer
    x = 109,569.46

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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.