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Finding the Third Proportional to 33,029 and 51,771

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Solution

The third proportional to 33,029 and 51,771 is: 81,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,029 : 51,771 = 51,771 : x
  2. Step 2: Convert to fraction form
    33,029/51,771 = 51,771/x
  3. Step 3: Cross multiply
    33,029x = 51,771 × 51,771
  4. Step 4: Simplify right side
    33,029x = 2,680,236,441
  5. Step 5: Solve for x
    x = 2,680,236,441/33,029
  6. Step 6: Final answer
    x = 81,147.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.