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Finding the Third Proportional to 3,883.78 and 6,474.09

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Solution

The third proportional to 3,883.78 and 6,474.09 is: 10,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.78 : 6,474.09 = 6,474.09 : x
  2. Step 2: Convert to fraction form
    3,883.78/6,474.09 = 6,474.09/x
  3. Step 3: Cross multiply
    3,883.78x = 6,474.09 × 6,474.09
  4. Step 4: Simplify right side
    3,883.78x = 41,913,889.88
  5. Step 5: Solve for x
    x = 41,913,889.88/3,883.78
  6. Step 6: Final answer
    x = 10,792.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.