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Finding the Third Proportional to 11,923 and 17,871

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Solution

The third proportional to 11,923 and 17,871 is: 26,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923 : 17,871 = 17,871 : x
  2. Step 2: Convert to fraction form
    11,923/17,871 = 17,871/x
  3. Step 3: Cross multiply
    11,923x = 17,871 × 17,871
  4. Step 4: Simplify right side
    11,923x = 319,372,641
  5. Step 5: Solve for x
    x = 319,372,641/11,923
  6. Step 6: Final answer
    x = 26,786.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.