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Finding the Third Proportional to 3,725.24 and 8,091.21

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Solution

The third proportional to 3,725.24 and 8,091.21 is: 17,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.24 : 8,091.21 = 8,091.21 : x
  2. Step 2: Convert to fraction form
    3,725.24/8,091.21 = 8,091.21/x
  3. Step 3: Cross multiply
    3,725.24x = 8,091.21 × 8,091.21
  4. Step 4: Simplify right side
    3,725.24x = 65,467,694.44
  5. Step 5: Solve for x
    x = 65,467,694.44/3,725.24
  6. Step 6: Final answer
    x = 17,574.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.