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Finding the Third Proportional to 11,714 and 20,827

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Solution

The third proportional to 11,714 and 20,827 is: 37,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714 : 20,827 = 20,827 : x
  2. Step 2: Convert to fraction form
    11,714/20,827 = 20,827/x
  3. Step 3: Cross multiply
    11,714x = 20,827 × 20,827
  4. Step 4: Simplify right side
    11,714x = 433,763,929
  5. Step 5: Solve for x
    x = 433,763,929/11,714
  6. Step 6: Final answer
    x = 37,029.53

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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.