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Finding the Third Proportional to 11,668 and 22,760

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Solution

The third proportional to 11,668 and 22,760 is: 44,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668 : 22,760 = 22,760 : x
  2. Step 2: Convert to fraction form
    11,668/22,760 = 22,760/x
  3. Step 3: Cross multiply
    11,668x = 22,760 × 22,760
  4. Step 4: Simplify right side
    11,668x = 518,017,600
  5. Step 5: Solve for x
    x = 518,017,600/11,668
  6. Step 6: Final answer
    x = 44,396.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.