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Finding the Third Proportional to 3,299 and 4,001

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Solution

The third proportional to 3,299 and 4,001 is: 4,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299 : 4,001 = 4,001 : x
  2. Step 2: Convert to fraction form
    3,299/4,001 = 4,001/x
  3. Step 3: Cross multiply
    3,299x = 4,001 × 4,001
  4. Step 4: Simplify right side
    3,299x = 16,008,001
  5. Step 5: Solve for x
    x = 16,008,001/3,299
  6. Step 6: Final answer
    x = 4,852.38

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.