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Finding the Third Proportional to 3,742 and 8,226

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Solution

The third proportional to 3,742 and 8,226 is: 18,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742 : 8,226 = 8,226 : x
  2. Step 2: Convert to fraction form
    3,742/8,226 = 8,226/x
  3. Step 3: Cross multiply
    3,742x = 8,226 × 8,226
  4. Step 4: Simplify right side
    3,742x = 67,667,076
  5. Step 5: Solve for x
    x = 67,667,076/3,742
  6. Step 6: Final answer
    x = 18,083.13

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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.