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Finding the Third Proportional to 33,199 and 50,767

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Solution

The third proportional to 33,199 and 50,767 is: 77,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199 : 50,767 = 50,767 : x
  2. Step 2: Convert to fraction form
    33,199/50,767 = 50,767/x
  3. Step 3: Cross multiply
    33,199x = 50,767 × 50,767
  4. Step 4: Simplify right side
    33,199x = 2,577,288,289
  5. Step 5: Solve for x
    x = 2,577,288,289/33,199
  6. Step 6: Final answer
    x = 77,631.50

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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.