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Finding the Third Proportional to 8,462 and 18,223

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Solution

The third proportional to 8,462 and 18,223 is: 39,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462 : 18,223 = 18,223 : x
  2. Step 2: Convert to fraction form
    8,462/18,223 = 18,223/x
  3. Step 3: Cross multiply
    8,462x = 18,223 × 18,223
  4. Step 4: Simplify right side
    8,462x = 332,077,729
  5. Step 5: Solve for x
    x = 332,077,729/8,462
  6. Step 6: Final answer
    x = 39,243.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.