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Finding the Third Proportional to 27,974 and 43,662

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Solution

The third proportional to 27,974 and 43,662 is: 68,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974 : 43,662 = 43,662 : x
  2. Step 2: Convert to fraction form
    27,974/43,662 = 43,662/x
  3. Step 3: Cross multiply
    27,974x = 43,662 × 43,662
  4. Step 4: Simplify right side
    27,974x = 1,906,370,244
  5. Step 5: Solve for x
    x = 1,906,370,244/27,974
  6. Step 6: Final answer
    x = 68,147.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.