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Finding the Third Proportional to 26,894 and 54,976

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Solution

The third proportional to 26,894 and 54,976 is: 112,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,894 : 54,976 = 54,976 : x
  2. Step 2: Convert to fraction form
    26,894/54,976 = 54,976/x
  3. Step 3: Cross multiply
    26,894x = 54,976 × 54,976
  4. Step 4: Simplify right side
    26,894x = 3,022,360,576
  5. Step 5: Solve for x
    x = 3,022,360,576/26,894
  6. Step 6: Final answer
    x = 112,380.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.