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Finding the Third Proportional to 11,824 and 16,067

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Solution

The third proportional to 11,824 and 16,067 is: 21,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824 : 16,067 = 16,067 : x
  2. Step 2: Convert to fraction form
    11,824/16,067 = 16,067/x
  3. Step 3: Cross multiply
    11,824x = 16,067 × 16,067
  4. Step 4: Simplify right side
    11,824x = 258,148,489
  5. Step 5: Solve for x
    x = 258,148,489/11,824
  6. Step 6: Final answer
    x = 21,832.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.