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Finding the Third Proportional to 11,524 and 20,676

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Solution

The third proportional to 11,524 and 20,676 is: 37,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 20,676 = 20,676 : x
  2. Step 2: Convert to fraction form
    11,524/20,676 = 20,676/x
  3. Step 3: Cross multiply
    11,524x = 20,676 × 20,676
  4. Step 4: Simplify right side
    11,524x = 427,496,976
  5. Step 5: Solve for x
    x = 427,496,976/11,524
  6. Step 6: Final answer
    x = 37,096.23

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.