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Finding the Third Proportional to 33,022.69 and 50,247.84

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Solution

The third proportional to 33,022.69 and 50,247.84 is: 76,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.69 : 50,247.84 = 50,247.84 : x
  2. Step 2: Convert to fraction form
    33,022.69/50,247.84 = 50,247.84/x
  3. Step 3: Cross multiply
    33,022.69x = 50,247.84 × 50,247.84
  4. Step 4: Simplify right side
    33,022.69x = 2,524,845,801.52
  5. Step 5: Solve for x
    x = 2,524,845,801.52/33,022.69
  6. Step 6: Final answer
    x = 76,457.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.