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Finding the Third Proportional to 6,827 and 11,221

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Solution

The third proportional to 6,827 and 11,221 is: 18,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827 : 11,221 = 11,221 : x
  2. Step 2: Convert to fraction form
    6,827/11,221 = 11,221/x
  3. Step 3: Cross multiply
    6,827x = 11,221 × 11,221
  4. Step 4: Simplify right side
    6,827x = 125,910,841
  5. Step 5: Solve for x
    x = 125,910,841/6,827
  6. Step 6: Final answer
    x = 18,443.07

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.