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Finding the Third Proportional to 16,956 and 27,074

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Solution

The third proportional to 16,956 and 27,074 is: 43,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,956 : 27,074 = 27,074 : x
  2. Step 2: Convert to fraction form
    16,956/27,074 = 27,074/x
  3. Step 3: Cross multiply
    16,956x = 27,074 × 27,074
  4. Step 4: Simplify right side
    16,956x = 733,001,476
  5. Step 5: Solve for x
    x = 733,001,476/16,956
  6. Step 6: Final answer
    x = 43,229.62

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.