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Finding the Third Proportional to 33,124.50 and 49,236.75

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Solution

The third proportional to 33,124.50 and 49,236.75 is: 73,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,124.50 : 49,236.75 = 49,236.75 : x
  2. Step 2: Convert to fraction form
    33,124.50/49,236.75 = 49,236.75/x
  3. Step 3: Cross multiply
    33,124.50x = 49,236.75 × 49,236.75
  4. Step 4: Simplify right side
    33,124.50x = 2,424,257,550.56
  5. Step 5: Solve for x
    x = 2,424,257,550.56/33,124.50
  6. Step 6: Final answer
    x = 73,186.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.