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Finding the Third Proportional to 26,674 and 56,626

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Solution

The third proportional to 26,674 and 56,626 is: 120,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,674 : 56,626 = 56,626 : x
  2. Step 2: Convert to fraction form
    26,674/56,626 = 56,626/x
  3. Step 3: Cross multiply
    26,674x = 56,626 × 56,626
  4. Step 4: Simplify right side
    26,674x = 3,206,503,876
  5. Step 5: Solve for x
    x = 3,206,503,876/26,674
  6. Step 6: Final answer
    x = 120,210.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.