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Finding the Third Proportional to 4,206 and 6,885

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Solution

The third proportional to 4,206 and 6,885 is: 11,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 6,885 = 6,885 : x
  2. Step 2: Convert to fraction form
    4,206/6,885 = 6,885/x
  3. Step 3: Cross multiply
    4,206x = 6,885 × 6,885
  4. Step 4: Simplify right side
    4,206x = 47,403,225
  5. Step 5: Solve for x
    x = 47,403,225/4,206
  6. Step 6: Final answer
    x = 11,270.38

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.