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Finding the Third Proportional to 4,019.47 and 8,231.15

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Solution

The third proportional to 4,019.47 and 8,231.15 is: 16,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.47 : 8,231.15 = 8,231.15 : x
  2. Step 2: Convert to fraction form
    4,019.47/8,231.15 = 8,231.15/x
  3. Step 3: Cross multiply
    4,019.47x = 8,231.15 × 8,231.15
  4. Step 4: Simplify right side
    4,019.47x = 67,751,836.75
  5. Step 5: Solve for x
    x = 67,751,836.75/4,019.47
  6. Step 6: Final answer
    x = 16,855.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.