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Finding the Third Proportional to 4,467.97 and 9,529.21

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Solution

The third proportional to 4,467.97 and 9,529.21 is: 20,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.97 : 9,529.21 = 9,529.21 : x
  2. Step 2: Convert to fraction form
    4,467.97/9,529.21 = 9,529.21/x
  3. Step 3: Cross multiply
    4,467.97x = 9,529.21 × 9,529.21
  4. Step 4: Simplify right side
    4,467.97x = 90,805,786.64
  5. Step 5: Solve for x
    x = 90,805,786.64/4,467.97
  6. Step 6: Final answer
    x = 20,323.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.