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Finding the Third Proportional to 33,945 and 49,932

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Solution

The third proportional to 33,945 and 49,932 is: 73,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945 : 49,932 = 49,932 : x
  2. Step 2: Convert to fraction form
    33,945/49,932 = 49,932/x
  3. Step 3: Cross multiply
    33,945x = 49,932 × 49,932
  4. Step 4: Simplify right side
    33,945x = 2,493,204,624
  5. Step 5: Solve for x
    x = 2,493,204,624/33,945
  6. Step 6: Final answer
    x = 73,448.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.