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Finding the Third Proportional to 6,299 and 9,449

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Solution

The third proportional to 6,299 and 9,449 is: 14,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299 : 9,449 = 9,449 : x
  2. Step 2: Convert to fraction form
    6,299/9,449 = 9,449/x
  3. Step 3: Cross multiply
    6,299x = 9,449 × 9,449
  4. Step 4: Simplify right side
    6,299x = 89,283,601
  5. Step 5: Solve for x
    x = 89,283,601/6,299
  6. Step 6: Final answer
    x = 14,174.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.