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Finding the Third Proportional to 11,973 and 16,851

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Solution

The third proportional to 11,973 and 16,851 is: 23,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973 : 16,851 = 16,851 : x
  2. Step 2: Convert to fraction form
    11,973/16,851 = 16,851/x
  3. Step 3: Cross multiply
    11,973x = 16,851 × 16,851
  4. Step 4: Simplify right side
    11,973x = 283,956,201
  5. Step 5: Solve for x
    x = 283,956,201/11,973
  6. Step 6: Final answer
    x = 23,716.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.