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Finding the Third Proportional to 33,198 and 49,707

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Solution

The third proportional to 33,198 and 49,707 is: 74,425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198 : 49,707 = 49,707 : x
  2. Step 2: Convert to fraction form
    33,198/49,707 = 49,707/x
  3. Step 3: Cross multiply
    33,198x = 49,707 × 49,707
  4. Step 4: Simplify right side
    33,198x = 2,470,785,849
  5. Step 5: Solve for x
    x = 2,470,785,849/33,198
  6. Step 6: Final answer
    x = 74,425.74

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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.