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Finding the Third Proportional to 3,709 and 8,288

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Solution

The third proportional to 3,709 and 8,288 is: 18,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709 : 8,288 = 8,288 : x
  2. Step 2: Convert to fraction form
    3,709/8,288 = 8,288/x
  3. Step 3: Cross multiply
    3,709x = 8,288 × 8,288
  4. Step 4: Simplify right side
    3,709x = 68,690,944
  5. Step 5: Solve for x
    x = 68,690,944/3,709
  6. Step 6: Final answer
    x = 18,520.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.