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Finding the Third Proportional to 996.05 and 2,188.69

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Solution

The third proportional to 996.05 and 2,188.69 is: 4,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.05 : 2,188.69 = 2,188.69 : x
  2. Step 2: Convert to fraction form
    996.05/2,188.69 = 2,188.69/x
  3. Step 3: Cross multiply
    996.05x = 2,188.69 × 2,188.69
  4. Step 4: Simplify right side
    996.05x = 4,790,352.97
  5. Step 5: Solve for x
    x = 4,790,352.97/996.05
  6. Step 6: Final answer
    x = 4,809.36

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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.