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Finding the Third Proportional to 26,922 and 55,192

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Solution

The third proportional to 26,922 and 55,192 is: 113,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,922 : 55,192 = 55,192 : x
  2. Step 2: Convert to fraction form
    26,922/55,192 = 55,192/x
  3. Step 3: Cross multiply
    26,922x = 55,192 × 55,192
  4. Step 4: Simplify right side
    26,922x = 3,046,156,864
  5. Step 5: Solve for x
    x = 3,046,156,864/26,922
  6. Step 6: Final answer
    x = 113,147.50

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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.