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Finding the Third Proportional to 21,231 and 23,067

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Solution

The third proportional to 21,231 and 23,067 is: 25,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231 : 23,067 = 23,067 : x
  2. Step 2: Convert to fraction form
    21,231/23,067 = 23,067/x
  3. Step 3: Cross multiply
    21,231x = 23,067 × 23,067
  4. Step 4: Simplify right side
    21,231x = 532,086,489
  5. Step 5: Solve for x
    x = 532,086,489/21,231
  6. Step 6: Final answer
    x = 25,061.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.