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Finding the Third Proportional to 26,950 and 55,196

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Solution

The third proportional to 26,950 and 55,196 is: 113,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,950 : 55,196 = 55,196 : x
  2. Step 2: Convert to fraction form
    26,950/55,196 = 55,196/x
  3. Step 3: Cross multiply
    26,950x = 55,196 × 55,196
  4. Step 4: Simplify right side
    26,950x = 3,046,598,416
  5. Step 5: Solve for x
    x = 3,046,598,416/26,950
  6. Step 6: Final answer
    x = 113,046.32

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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.