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Finding the Third Proportional to 6,369 and 13,993

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Solution

The third proportional to 6,369 and 13,993 is: 30,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369 : 13,993 = 13,993 : x
  2. Step 2: Convert to fraction form
    6,369/13,993 = 13,993/x
  3. Step 3: Cross multiply
    6,369x = 13,993 × 13,993
  4. Step 4: Simplify right side
    6,369x = 195,804,049
  5. Step 5: Solve for x
    x = 195,804,049/6,369
  6. Step 6: Final answer
    x = 30,743.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.