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Finding the Third Proportional to 3,967.73 and 8,463.23

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Solution

The third proportional to 3,967.73 and 8,463.23 is: 18,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.73 : 8,463.23 = 8,463.23 : x
  2. Step 2: Convert to fraction form
    3,967.73/8,463.23 = 8,463.23/x
  3. Step 3: Cross multiply
    3,967.73x = 8,463.23 × 8,463.23
  4. Step 4: Simplify right side
    3,967.73x = 71,626,336.09
  5. Step 5: Solve for x
    x = 71,626,336.09/3,967.73
  6. Step 6: Final answer
    x = 18,052.20

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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.