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Finding the Third Proportional to 11,668 and 24,775

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Solution

The third proportional to 11,668 and 24,775 is: 52,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668 : 24,775 = 24,775 : x
  2. Step 2: Convert to fraction form
    11,668/24,775 = 24,775/x
  3. Step 3: Cross multiply
    11,668x = 24,775 × 24,775
  4. Step 4: Simplify right side
    11,668x = 613,800,625
  5. Step 5: Solve for x
    x = 613,800,625/11,668
  6. Step 6: Final answer
    x = 52,605.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.