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Finding the Third Proportional to 3,986 and 5,851

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Solution

The third proportional to 3,986 and 5,851 is: 8,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986 : 5,851 = 5,851 : x
  2. Step 2: Convert to fraction form
    3,986/5,851 = 5,851/x
  3. Step 3: Cross multiply
    3,986x = 5,851 × 5,851
  4. Step 4: Simplify right side
    3,986x = 34,234,201
  5. Step 5: Solve for x
    x = 34,234,201/3,986
  6. Step 6: Final answer
    x = 8,588.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.