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Finding the Third Proportional to 8,206 and 11,578

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Solution

The third proportional to 8,206 and 11,578 is: 16,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206 : 11,578 = 11,578 : x
  2. Step 2: Convert to fraction form
    8,206/11,578 = 11,578/x
  3. Step 3: Cross multiply
    8,206x = 11,578 × 11,578
  4. Step 4: Simplify right side
    8,206x = 134,050,084
  5. Step 5: Solve for x
    x = 134,050,084/8,206
  6. Step 6: Final answer
    x = 16,335.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.