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Finding the Third Proportional to 16,742 and 36,796

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Solution

The third proportional to 16,742 and 36,796 is: 80,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742 : 36,796 = 36,796 : x
  2. Step 2: Convert to fraction form
    16,742/36,796 = 36,796/x
  3. Step 3: Cross multiply
    16,742x = 36,796 × 36,796
  4. Step 4: Simplify right side
    16,742x = 1,353,945,616
  5. Step 5: Solve for x
    x = 1,353,945,616/16,742
  6. Step 6: Final answer
    x = 80,871.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.