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Finding the Third Proportional to 11,906 and 19,067

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Solution

The third proportional to 11,906 and 19,067 is: 30,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906 : 19,067 = 19,067 : x
  2. Step 2: Convert to fraction form
    11,906/19,067 = 19,067/x
  3. Step 3: Cross multiply
    11,906x = 19,067 × 19,067
  4. Step 4: Simplify right side
    11,906x = 363,550,489
  5. Step 5: Solve for x
    x = 363,550,489/11,906
  6. Step 6: Final answer
    x = 30,535.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.