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Finding the Third Proportional to 26,916 and 55,179

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Solution

The third proportional to 26,916 and 55,179 is: 113,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,916 : 55,179 = 55,179 : x
  2. Step 2: Convert to fraction form
    26,916/55,179 = 55,179/x
  3. Step 3: Cross multiply
    26,916x = 55,179 × 55,179
  4. Step 4: Simplify right side
    26,916x = 3,044,722,041
  5. Step 5: Solve for x
    x = 3,044,722,041/26,916
  6. Step 6: Final answer
    x = 113,119.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.