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Finding the Third Proportional to 33,900.87 and 73,828.81

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Solution

The third proportional to 33,900.87 and 73,828.81 is: 160,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900.87 : 73,828.81 = 73,828.81 : x
  2. Step 2: Convert to fraction form
    33,900.87/73,828.81 = 73,828.81/x
  3. Step 3: Cross multiply
    33,900.87x = 73,828.81 × 73,828.81
  4. Step 4: Simplify right side
    33,900.87x = 5,450,693,266.77
  5. Step 5: Solve for x
    x = 5,450,693,266.77/33,900.87
  6. Step 6: Final answer
    x = 160,783.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.