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Finding the Third Proportional to 4,189 and 5,071

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Solution

The third proportional to 4,189 and 5,071 is: 6,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 5,071 = 5,071 : x
  2. Step 2: Convert to fraction form
    4,189/5,071 = 5,071/x
  3. Step 3: Cross multiply
    4,189x = 5,071 × 5,071
  4. Step 4: Simplify right side
    4,189x = 25,715,041
  5. Step 5: Solve for x
    x = 25,715,041/4,189
  6. Step 6: Final answer
    x = 6,138.71

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.