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Finding the Third Proportional to 3,997.69 and 6,100.31

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Solution

The third proportional to 3,997.69 and 6,100.31 is: 9,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.69 : 6,100.31 = 6,100.31 : x
  2. Step 2: Convert to fraction form
    3,997.69/6,100.31 = 6,100.31/x
  3. Step 3: Cross multiply
    3,997.69x = 6,100.31 × 6,100.31
  4. Step 4: Simplify right side
    3,997.69x = 37,213,812.60
  5. Step 5: Solve for x
    x = 37,213,812.60/3,997.69
  6. Step 6: Final answer
    x = 9,308.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.