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Finding the Third Proportional to 20,162 and 43,783

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Solution

The third proportional to 20,162 and 43,783 is: 95,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162 : 43,783 = 43,783 : x
  2. Step 2: Convert to fraction form
    20,162/43,783 = 43,783/x
  3. Step 3: Cross multiply
    20,162x = 43,783 × 43,783
  4. Step 4: Simplify right side
    20,162x = 1,916,951,089
  5. Step 5: Solve for x
    x = 1,916,951,089/20,162
  6. Step 6: Final answer
    x = 95,077.43

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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.