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Finding the Third Proportional to 4,338 and 6,199

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Solution

The third proportional to 4,338 and 6,199 is: 8,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338 : 6,199 = 6,199 : x
  2. Step 2: Convert to fraction form
    4,338/6,199 = 6,199/x
  3. Step 3: Cross multiply
    4,338x = 6,199 × 6,199
  4. Step 4: Simplify right side
    4,338x = 38,427,601
  5. Step 5: Solve for x
    x = 38,427,601/4,338
  6. Step 6: Final answer
    x = 8,858.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.