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Finding the Third Proportional to 8,323 and 18,241

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Solution

The third proportional to 8,323 and 18,241 is: 39,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323 : 18,241 = 18,241 : x
  2. Step 2: Convert to fraction form
    8,323/18,241 = 18,241/x
  3. Step 3: Cross multiply
    8,323x = 18,241 × 18,241
  4. Step 4: Simplify right side
    8,323x = 332,734,081
  5. Step 5: Solve for x
    x = 332,734,081/8,323
  6. Step 6: Final answer
    x = 39,977.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.