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Finding the Third Proportional to 20,089 and 41,771

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Solution

The third proportional to 20,089 and 41,771 is: 86,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089 : 41,771 = 41,771 : x
  2. Step 2: Convert to fraction form
    20,089/41,771 = 41,771/x
  3. Step 3: Cross multiply
    20,089x = 41,771 × 41,771
  4. Step 4: Simplify right side
    20,089x = 1,744,816,441
  5. Step 5: Solve for x
    x = 1,744,816,441/20,089
  6. Step 6: Final answer
    x = 86,854.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.