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Finding the Third Proportional to 20,149 and 43,762

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Solution

The third proportional to 20,149 and 43,762 is: 95,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149 : 43,762 = 43,762 : x
  2. Step 2: Convert to fraction form
    20,149/43,762 = 43,762/x
  3. Step 3: Cross multiply
    20,149x = 43,762 × 43,762
  4. Step 4: Simplify right side
    20,149x = 1,915,112,644
  5. Step 5: Solve for x
    x = 1,915,112,644/20,149
  6. Step 6: Final answer
    x = 95,047.53

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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.