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Finding the Third Proportional to 11,722 and 27,671

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Solution

The third proportional to 11,722 and 27,671 is: 65,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722 : 27,671 = 27,671 : x
  2. Step 2: Convert to fraction form
    11,722/27,671 = 27,671/x
  3. Step 3: Cross multiply
    11,722x = 27,671 × 27,671
  4. Step 4: Simplify right side
    11,722x = 765,684,241
  5. Step 5: Solve for x
    x = 765,684,241/11,722
  6. Step 6: Final answer
    x = 65,320.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.