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Finding the Third Proportional to 33,871 and 52,745

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Solution

The third proportional to 33,871 and 52,745 is: 82,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,871 : 52,745 = 52,745 : x
  2. Step 2: Convert to fraction form
    33,871/52,745 = 52,745/x
  3. Step 3: Cross multiply
    33,871x = 52,745 × 52,745
  4. Step 4: Simplify right side
    33,871x = 2,782,035,025
  5. Step 5: Solve for x
    x = 2,782,035,025/33,871
  6. Step 6: Final answer
    x = 82,136.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.