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Finding the Third Proportional to 26,846 and 54,412

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Solution

The third proportional to 26,846 and 54,412 is: 110,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,846 : 54,412 = 54,412 : x
  2. Step 2: Convert to fraction form
    26,846/54,412 = 54,412/x
  3. Step 3: Cross multiply
    26,846x = 54,412 × 54,412
  4. Step 4: Simplify right side
    26,846x = 2,960,665,744
  5. Step 5: Solve for x
    x = 2,960,665,744/26,846
  6. Step 6: Final answer
    x = 110,283.31

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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.