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Finding the Third Proportional to 3,961.41 and 5,971.22

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Solution

The third proportional to 3,961.41 and 5,971.22 is: 9,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.41 : 5,971.22 = 5,971.22 : x
  2. Step 2: Convert to fraction form
    3,961.41/5,971.22 = 5,971.22/x
  3. Step 3: Cross multiply
    3,961.41x = 5,971.22 × 5,971.22
  4. Step 4: Simplify right side
    3,961.41x = 35,655,453.36
  5. Step 5: Solve for x
    x = 35,655,453.36/3,961.41
  6. Step 6: Final answer
    x = 9,000.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.