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Finding the Third Proportional to 16,811 and 36,691

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Solution

The third proportional to 16,811 and 36,691 is: 80,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811 : 36,691 = 36,691 : x
  2. Step 2: Convert to fraction form
    16,811/36,691 = 36,691/x
  3. Step 3: Cross multiply
    16,811x = 36,691 × 36,691
  4. Step 4: Simplify right side
    16,811x = 1,346,229,481
  5. Step 5: Solve for x
    x = 1,346,229,481/16,811
  6. Step 6: Final answer
    x = 80,080.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.