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Finding the Third Proportional to 26,676 and 54,054

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Solution

The third proportional to 26,676 and 54,054 is: 109,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,676 : 54,054 = 54,054 : x
  2. Step 2: Convert to fraction form
    26,676/54,054 = 54,054/x
  3. Step 3: Cross multiply
    26,676x = 54,054 × 54,054
  4. Step 4: Simplify right side
    26,676x = 2,921,834,916
  5. Step 5: Solve for x
    x = 2,921,834,916/26,676
  6. Step 6: Final answer
    x = 109,530.47

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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.