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Finding the Third Proportional to 33,246.14 and 49,751.86

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Solution

The third proportional to 33,246.14 and 49,751.86 is: 74,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,246.14 : 49,751.86 = 49,751.86 : x
  2. Step 2: Convert to fraction form
    33,246.14/49,751.86 = 49,751.86/x
  3. Step 3: Cross multiply
    33,246.14x = 49,751.86 × 49,751.86
  4. Step 4: Simplify right side
    33,246.14x = 2,475,247,511.27
  5. Step 5: Solve for x
    x = 2,475,247,511.27/33,246.14
  6. Step 6: Final answer
    x = 74,452.18

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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.