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Finding the Third Proportional to 33,351 and 50,871

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Solution

The third proportional to 33,351 and 50,871 is: 77,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,351 : 50,871 = 50,871 : x
  2. Step 2: Convert to fraction form
    33,351/50,871 = 50,871/x
  3. Step 3: Cross multiply
    33,351x = 50,871 × 50,871
  4. Step 4: Simplify right side
    33,351x = 2,587,858,641
  5. Step 5: Solve for x
    x = 2,587,858,641/33,351
  6. Step 6: Final answer
    x = 77,594.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.