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Finding the Third Proportional to 33,770 and 50,673

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Solution

The third proportional to 33,770 and 50,673 is: 76,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,770 : 50,673 = 50,673 : x
  2. Step 2: Convert to fraction form
    33,770/50,673 = 50,673/x
  3. Step 3: Cross multiply
    33,770x = 50,673 × 50,673
  4. Step 4: Simplify right side
    33,770x = 2,567,752,929
  5. Step 5: Solve for x
    x = 2,567,752,929/33,770
  6. Step 6: Final answer
    x = 76,036.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.