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Finding the Third Proportional to 6,369.75 and 13,896.38

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Solution

The third proportional to 6,369.75 and 13,896.38 is: 30,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.75 : 13,896.38 = 13,896.38 : x
  2. Step 2: Convert to fraction form
    6,369.75/13,896.38 = 13,896.38/x
  3. Step 3: Cross multiply
    6,369.75x = 13,896.38 × 13,896.38
  4. Step 4: Simplify right side
    6,369.75x = 193,109,238.14
  5. Step 5: Solve for x
    x = 193,109,238.14/6,369.75
  6. Step 6: Final answer
    x = 30,316.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.