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Finding the Third Proportional to 33,022.69 and 71,993.81

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Solution

The third proportional to 33,022.69 and 71,993.81 is: 156,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.69 : 71,993.81 = 71,993.81 : x
  2. Step 2: Convert to fraction form
    33,022.69/71,993.81 = 71,993.81/x
  3. Step 3: Cross multiply
    33,022.69x = 71,993.81 × 71,993.81
  4. Step 4: Simplify right side
    33,022.69x = 5,183,109,038.29
  5. Step 5: Solve for x
    x = 5,183,109,038.29/33,022.69
  6. Step 6: Final answer
    x = 156,956.00

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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.