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Finding the Third Proportional to 20,200 and 43,844

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Solution

The third proportional to 20,200 and 43,844 is: 95,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200 : 43,844 = 43,844 : x
  2. Step 2: Convert to fraction form
    20,200/43,844 = 43,844/x
  3. Step 3: Cross multiply
    20,200x = 43,844 × 43,844
  4. Step 4: Simplify right side
    20,200x = 1,922,296,336
  5. Step 5: Solve for x
    x = 1,922,296,336/20,200
  6. Step 6: Final answer
    x = 95,163.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.