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Finding the Third Proportional to 20,109 and 43,314

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Solution

The third proportional to 20,109 and 43,314 is: 93,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109 : 43,314 = 43,314 : x
  2. Step 2: Convert to fraction form
    20,109/43,314 = 43,314/x
  3. Step 3: Cross multiply
    20,109x = 43,314 × 43,314
  4. Step 4: Simplify right side
    20,109x = 1,876,102,596
  5. Step 5: Solve for x
    x = 1,876,102,596/20,109
  6. Step 6: Final answer
    x = 93,296.66

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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.