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Finding the Third Proportional to 8,100 and 18,314

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Solution

The third proportional to 8,100 and 18,314 is: 41,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 18,314 = 18,314 : x
  2. Step 2: Convert to fraction form
    8,100/18,314 = 18,314/x
  3. Step 3: Cross multiply
    8,100x = 18,314 × 18,314
  4. Step 4: Simplify right side
    8,100x = 335,402,596
  5. Step 5: Solve for x
    x = 335,402,596/8,100
  6. Step 6: Final answer
    x = 41,407.73

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.