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Finding the Third Proportional to 26,963 and 54,655

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Solution

The third proportional to 26,963 and 54,655 is: 110,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963 : 54,655 = 54,655 : x
  2. Step 2: Convert to fraction form
    26,963/54,655 = 54,655/x
  3. Step 3: Cross multiply
    26,963x = 54,655 × 54,655
  4. Step 4: Simplify right side
    26,963x = 2,987,169,025
  5. Step 5: Solve for x
    x = 2,987,169,025/26,963
  6. Step 6: Final answer
    x = 110,787.71

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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.