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Finding the Third Proportional to 11,774 and 16,743

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Solution

The third proportional to 11,774 and 16,743 is: 23,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 16,743 = 16,743 : x
  2. Step 2: Convert to fraction form
    11,774/16,743 = 16,743/x
  3. Step 3: Cross multiply
    11,774x = 16,743 × 16,743
  4. Step 4: Simplify right side
    11,774x = 280,328,049
  5. Step 5: Solve for x
    x = 280,328,049/11,774
  6. Step 6: Final answer
    x = 23,809.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.