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Finding the Third Proportional to 11,954 and 16,721

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Solution

The third proportional to 11,954 and 16,721 is: 23,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954 : 16,721 = 16,721 : x
  2. Step 2: Convert to fraction form
    11,954/16,721 = 16,721/x
  3. Step 3: Cross multiply
    11,954x = 16,721 × 16,721
  4. Step 4: Simplify right side
    11,954x = 279,591,841
  5. Step 5: Solve for x
    x = 279,591,841/11,954
  6. Step 6: Final answer
    x = 23,388.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.