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Finding the Third Proportional to 4,163 and 6,229

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Solution

The third proportional to 4,163 and 6,229 is: 9,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163 : 6,229 = 6,229 : x
  2. Step 2: Convert to fraction form
    4,163/6,229 = 6,229/x
  3. Step 3: Cross multiply
    4,163x = 6,229 × 6,229
  4. Step 4: Simplify right side
    4,163x = 38,800,441
  5. Step 5: Solve for x
    x = 38,800,441/4,163
  6. Step 6: Final answer
    x = 9,320.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.