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Finding the Third Proportional to 6,738.25 and 14,174.75

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Solution

The third proportional to 6,738.25 and 14,174.75 is: 29,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.25 : 14,174.75 = 14,174.75 : x
  2. Step 2: Convert to fraction form
    6,738.25/14,174.75 = 14,174.75/x
  3. Step 3: Cross multiply
    6,738.25x = 14,174.75 × 14,174.75
  4. Step 4: Simplify right side
    6,738.25x = 200,923,537.56
  5. Step 5: Solve for x
    x = 200,923,537.56/6,738.25
  6. Step 6: Final answer
    x = 29,818.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.