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Finding the Third Proportional to 20,117 and 44,173

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Solution

The third proportional to 20,117 and 44,173 is: 96,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117 : 44,173 = 44,173 : x
  2. Step 2: Convert to fraction form
    20,117/44,173 = 44,173/x
  3. Step 3: Cross multiply
    20,117x = 44,173 × 44,173
  4. Step 4: Simplify right side
    20,117x = 1,951,253,929
  5. Step 5: Solve for x
    x = 1,951,253,929/20,117
  6. Step 6: Final answer
    x = 96,995.27

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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.