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Finding the Third Proportional to 5,986 and 13,941

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Solution

The third proportional to 5,986 and 13,941 is: 32,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986 : 13,941 = 13,941 : x
  2. Step 2: Convert to fraction form
    5,986/13,941 = 13,941/x
  3. Step 3: Cross multiply
    5,986x = 13,941 × 13,941
  4. Step 4: Simplify right side
    5,986x = 194,351,481
  5. Step 5: Solve for x
    x = 194,351,481/5,986
  6. Step 6: Final answer
    x = 32,467.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.