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Finding the Third Proportional to 12,962 and 16,851

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Solution

The third proportional to 12,962 and 16,851 is: 21,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962 : 16,851 = 16,851 : x
  2. Step 2: Convert to fraction form
    12,962/16,851 = 16,851/x
  3. Step 3: Cross multiply
    12,962x = 16,851 × 16,851
  4. Step 4: Simplify right side
    12,962x = 283,956,201
  5. Step 5: Solve for x
    x = 283,956,201/12,962
  6. Step 6: Final answer
    x = 21,906.82

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.