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Finding the Third Proportional to 11,713 and 20,825

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Solution

The third proportional to 11,713 and 20,825 is: 37,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713 : 20,825 = 20,825 : x
  2. Step 2: Convert to fraction form
    11,713/20,825 = 20,825/x
  3. Step 3: Cross multiply
    11,713x = 20,825 × 20,825
  4. Step 4: Simplify right side
    11,713x = 433,680,625
  5. Step 5: Solve for x
    x = 433,680,625/11,713
  6. Step 6: Final answer
    x = 37,025.58

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.