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Finding the Third Proportional to 27,871 and 39,923

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Solution

The third proportional to 27,871 and 39,923 is: 57,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871 : 39,923 = 39,923 : x
  2. Step 2: Convert to fraction form
    27,871/39,923 = 39,923/x
  3. Step 3: Cross multiply
    27,871x = 39,923 × 39,923
  4. Step 4: Simplify right side
    27,871x = 1,593,845,929
  5. Step 5: Solve for x
    x = 1,593,845,929/27,871
  6. Step 6: Final answer
    x = 57,186.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.