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Finding the Third Proportional to 23,871 and 52,683

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Solution

The third proportional to 23,871 and 52,683 is: 116,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871 : 52,683 = 52,683 : x
  2. Step 2: Convert to fraction form
    23,871/52,683 = 52,683/x
  3. Step 3: Cross multiply
    23,871x = 52,683 × 52,683
  4. Step 4: Simplify right side
    23,871x = 2,775,498,489
  5. Step 5: Solve for x
    x = 2,775,498,489/23,871
  6. Step 6: Final answer
    x = 116,270.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.