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Finding the Third Proportional to 4,166 and 6,266

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Solution

The third proportional to 4,166 and 6,266 is: 9,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166 : 6,266 = 6,266 : x
  2. Step 2: Convert to fraction form
    4,166/6,266 = 6,266/x
  3. Step 3: Cross multiply
    4,166x = 6,266 × 6,266
  4. Step 4: Simplify right side
    4,166x = 39,262,756
  5. Step 5: Solve for x
    x = 39,262,756/4,166
  6. Step 6: Final answer
    x = 9,424.57

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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.