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Finding the Third Proportional to 26,926 and 55,195

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Solution

The third proportional to 26,926 and 55,195 is: 113,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,926 : 55,195 = 55,195 : x
  2. Step 2: Convert to fraction form
    26,926/55,195 = 55,195/x
  3. Step 3: Cross multiply
    26,926x = 55,195 × 55,195
  4. Step 4: Simplify right side
    26,926x = 3,046,488,025
  5. Step 5: Solve for x
    x = 3,046,488,025/26,926
  6. Step 6: Final answer
    x = 113,142.99

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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.