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Finding the Third Proportional to 33,736 and 49,510.50

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Solution

The third proportional to 33,736 and 49,510.50 is: 72,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,736 : 49,510.50 = 49,510.50 : x
  2. Step 2: Convert to fraction form
    33,736/49,510.50 = 49,510.50/x
  3. Step 3: Cross multiply
    33,736x = 49,510.50 × 49,510.50
  4. Step 4: Simplify right side
    33,736x = 2,451,289,610.25
  5. Step 5: Solve for x
    x = 2,451,289,610.25/33,736
  6. Step 6: Final answer
    x = 72,660.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.