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Finding the Third Proportional to 23,091.64 and 33,022.85

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Solution

The third proportional to 23,091.64 and 33,022.85 is: 47,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,091.64 : 33,022.85 = 33,022.85 : x
  2. Step 2: Convert to fraction form
    23,091.64/33,022.85 = 33,022.85/x
  3. Step 3: Cross multiply
    23,091.64x = 33,022.85 × 33,022.85
  4. Step 4: Simplify right side
    23,091.64x = 1,090,508,338.33
  5. Step 5: Solve for x
    x = 1,090,508,338.33/23,091.64
  6. Step 6: Final answer
    x = 47,225.23

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.