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Finding the Third Proportional to 33,950.25 and 49,386.38

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Solution

The third proportional to 33,950.25 and 49,386.38 is: 71,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,950.25 : 49,386.38 = 49,386.38 : x
  2. Step 2: Convert to fraction form
    33,950.25/49,386.38 = 49,386.38/x
  3. Step 3: Cross multiply
    33,950.25x = 49,386.38 × 49,386.38
  4. Step 4: Simplify right side
    33,950.25x = 2,439,014,035.64
  5. Step 5: Solve for x
    x = 2,439,014,035.64/33,950.25
  6. Step 6: Final answer
    x = 71,840.83

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.