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Finding the Third Proportional to 33,950.25 and 49,884.19

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Solution

The third proportional to 33,950.25 and 49,884.19 is: 73,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,950.25 : 49,884.19 = 49,884.19 : x
  2. Step 2: Convert to fraction form
    33,950.25/49,884.19 = 49,884.19/x
  3. Step 3: Cross multiply
    33,950.25x = 49,884.19 × 49,884.19
  4. Step 4: Simplify right side
    33,950.25x = 2,488,432,162.54
  5. Step 5: Solve for x
    x = 2,488,432,162.54/33,950.25
  6. Step 6: Final answer
    x = 73,296.43

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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.