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Finding the Third Proportional to 33,238 and 49,881.38

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Solution

The third proportional to 33,238 and 49,881.38 is: 74,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238 : 49,881.38 = 49,881.38 : x
  2. Step 2: Convert to fraction form
    33,238/49,881.38 = 49,881.38/x
  3. Step 3: Cross multiply
    33,238x = 49,881.38 × 49,881.38
  4. Step 4: Simplify right side
    33,238x = 2,488,151,571.89
  5. Step 5: Solve for x
    x = 2,488,151,571.89/33,238
  6. Step 6: Final answer
    x = 74,858.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.