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Finding the Third Proportional to 4,161 and 6,226

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Solution

The third proportional to 4,161 and 6,226 is: 9,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161 : 6,226 = 6,226 : x
  2. Step 2: Convert to fraction form
    4,161/6,226 = 6,226/x
  3. Step 3: Cross multiply
    4,161x = 6,226 × 6,226
  4. Step 4: Simplify right side
    4,161x = 38,763,076
  5. Step 5: Solve for x
    x = 38,763,076/4,161
  6. Step 6: Final answer
    x = 9,315.81

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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.