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Finding the Third Proportional to 3,942 and 9,177

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Solution

The third proportional to 3,942 and 9,177 is: 21,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942 : 9,177 = 9,177 : x
  2. Step 2: Convert to fraction form
    3,942/9,177 = 9,177/x
  3. Step 3: Cross multiply
    3,942x = 9,177 × 9,177
  4. Step 4: Simplify right side
    3,942x = 84,217,329
  5. Step 5: Solve for x
    x = 84,217,329/3,942
  6. Step 6: Final answer
    x = 21,364.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.