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Finding the Third Proportional to 11,813 and 24,166

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Solution

The third proportional to 11,813 and 24,166 is: 49,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813 : 24,166 = 24,166 : x
  2. Step 2: Convert to fraction form
    11,813/24,166 = 24,166/x
  3. Step 3: Cross multiply
    11,813x = 24,166 × 24,166
  4. Step 4: Simplify right side
    11,813x = 583,995,556
  5. Step 5: Solve for x
    x = 583,995,556/11,813
  6. Step 6: Final answer
    x = 49,436.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.