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Finding the Third Proportional to 8,223 and 18,087

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Solution

The third proportional to 8,223 and 18,087 is: 39,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223 : 18,087 = 18,087 : x
  2. Step 2: Convert to fraction form
    8,223/18,087 = 18,087/x
  3. Step 3: Cross multiply
    8,223x = 18,087 × 18,087
  4. Step 4: Simplify right side
    8,223x = 327,139,569
  5. Step 5: Solve for x
    x = 327,139,569/8,223
  6. Step 6: Final answer
    x = 39,783.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.