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Finding the Third Proportional to 33,021 and 50,766.75

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Solution

The third proportional to 33,021 and 50,766.75 is: 78,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,021 : 50,766.75 = 50,766.75 : x
  2. Step 2: Convert to fraction form
    33,021/50,766.75 = 50,766.75/x
  3. Step 3: Cross multiply
    33,021x = 50,766.75 × 50,766.75
  4. Step 4: Simplify right side
    33,021x = 2,577,262,905.56
  5. Step 5: Solve for x
    x = 2,577,262,905.56/33,021
  6. Step 6: Final answer
    x = 78,049.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.