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Finding the Third Proportional to 3,899 and 8,344

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Solution

The third proportional to 3,899 and 8,344 is: 17,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899 : 8,344 = 8,344 : x
  2. Step 2: Convert to fraction form
    3,899/8,344 = 8,344/x
  3. Step 3: Cross multiply
    3,899x = 8,344 × 8,344
  4. Step 4: Simplify right side
    3,899x = 69,622,336
  5. Step 5: Solve for x
    x = 69,622,336/3,899
  6. Step 6: Final answer
    x = 17,856.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.