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Finding the Third Proportional to 33,431.96 and 48,947.73

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Solution

The third proportional to 33,431.96 and 48,947.73 is: 71,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.96 : 48,947.73 = 48,947.73 : x
  2. Step 2: Convert to fraction form
    33,431.96/48,947.73 = 48,947.73/x
  3. Step 3: Cross multiply
    33,431.96x = 48,947.73 × 48,947.73
  4. Step 4: Simplify right side
    33,431.96x = 2,395,880,318.04
  5. Step 5: Solve for x
    x = 2,395,880,318.04/33,431.96
  6. Step 6: Final answer
    x = 71,664.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.