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Finding the Third Proportional to 4,299 and 5,199

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Solution

The third proportional to 4,299 and 5,199 is: 6,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299 : 5,199 = 5,199 : x
  2. Step 2: Convert to fraction form
    4,299/5,199 = 5,199/x
  3. Step 3: Cross multiply
    4,299x = 5,199 × 5,199
  4. Step 4: Simplify right side
    4,299x = 27,029,601
  5. Step 5: Solve for x
    x = 27,029,601/4,299
  6. Step 6: Final answer
    x = 6,287.42

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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.