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Finding the Third Proportional to 26,414 and 55,021

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Solution

The third proportional to 26,414 and 55,021 is: 114,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,414 : 55,021 = 55,021 : x
  2. Step 2: Convert to fraction form
    26,414/55,021 = 55,021/x
  3. Step 3: Cross multiply
    26,414x = 55,021 × 55,021
  4. Step 4: Simplify right side
    26,414x = 3,027,310,441
  5. Step 5: Solve for x
    x = 3,027,310,441/26,414
  6. Step 6: Final answer
    x = 114,610.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.