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Finding the Third Proportional to 4,189 and 6,238

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Solution

The third proportional to 4,189 and 6,238 is: 9,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 6,238 = 6,238 : x
  2. Step 2: Convert to fraction form
    4,189/6,238 = 6,238/x
  3. Step 3: Cross multiply
    4,189x = 6,238 × 6,238
  4. Step 4: Simplify right side
    4,189x = 38,912,644
  5. Step 5: Solve for x
    x = 38,912,644/4,189
  6. Step 6: Final answer
    x = 9,289.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.