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Finding the Third Proportional to 33,584.81 and 73,631.91

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Solution

The third proportional to 33,584.81 and 73,631.91 is: 161,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.81 : 73,631.91 = 73,631.91 : x
  2. Step 2: Convert to fraction form
    33,584.81/73,631.91 = 73,631.91/x
  3. Step 3: Cross multiply
    33,584.81x = 73,631.91 × 73,631.91
  4. Step 4: Simplify right side
    33,584.81x = 5,421,657,618.01
  5. Step 5: Solve for x
    x = 5,421,657,618.01/33,584.81
  6. Step 6: Final answer
    x = 161,431.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.