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Finding the Third Proportional to 4,443 and 5,927

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Solution

The third proportional to 4,443 and 5,927 is: 7,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,443 : 5,927 = 5,927 : x
  2. Step 2: Convert to fraction form
    4,443/5,927 = 5,927/x
  3. Step 3: Cross multiply
    4,443x = 5,927 × 5,927
  4. Step 4: Simplify right side
    4,443x = 35,129,329
  5. Step 5: Solve for x
    x = 35,129,329/4,443
  6. Step 6: Final answer
    x = 7,906.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.