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Finding the Third Proportional to 3,998.25 and 8,789.63

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Solution

The third proportional to 3,998.25 and 8,789.63 is: 19,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.25 : 8,789.63 = 8,789.63 : x
  2. Step 2: Convert to fraction form
    3,998.25/8,789.63 = 8,789.63/x
  3. Step 3: Cross multiply
    3,998.25x = 8,789.63 × 8,789.63
  4. Step 4: Simplify right side
    3,998.25x = 77,257,507.64
  5. Step 5: Solve for x
    x = 77,257,507.64/3,998.25
  6. Step 6: Final answer
    x = 19,322.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.