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Finding the Third Proportional to 6,375.38 and 13,883.06

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Solution

The third proportional to 6,375.38 and 13,883.06 is: 30,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.38 : 13,883.06 = 13,883.06 : x
  2. Step 2: Convert to fraction form
    6,375.38/13,883.06 = 13,883.06/x
  3. Step 3: Cross multiply
    6,375.38x = 13,883.06 × 13,883.06
  4. Step 4: Simplify right side
    6,375.38x = 192,739,424.38
  5. Step 5: Solve for x
    x = 192,739,424.38/6,375.38
  6. Step 6: Final answer
    x = 30,231.86

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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.