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Finding the Third Proportional to 11,744 and 24,698

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Solution

The third proportional to 11,744 and 24,698 is: 51,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744 : 24,698 = 24,698 : x
  2. Step 2: Convert to fraction form
    11,744/24,698 = 24,698/x
  3. Step 3: Cross multiply
    11,744x = 24,698 × 24,698
  4. Step 4: Simplify right side
    11,744x = 609,991,204
  5. Step 5: Solve for x
    x = 609,991,204/11,744
  6. Step 6: Final answer
    x = 51,940.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.