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Finding the Third Proportional to 33,727.64 and 49,361.27

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Solution

The third proportional to 33,727.64 and 49,361.27 is: 72,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,727.64 : 49,361.27 = 49,361.27 : x
  2. Step 2: Convert to fraction form
    33,727.64/49,361.27 = 49,361.27/x
  3. Step 3: Cross multiply
    33,727.64x = 49,361.27 × 49,361.27
  4. Step 4: Simplify right side
    33,727.64x = 2,436,535,315.37
  5. Step 5: Solve for x
    x = 2,436,535,315.37/33,727.64
  6. Step 6: Final answer
    x = 72,241.50

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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.