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Finding the Third Proportional to 20,092 and 42,020

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Solution

The third proportional to 20,092 and 42,020 is: 87,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092 : 42,020 = 42,020 : x
  2. Step 2: Convert to fraction form
    20,092/42,020 = 42,020/x
  3. Step 3: Cross multiply
    20,092x = 42,020 × 42,020
  4. Step 4: Simplify right side
    20,092x = 1,765,680,400
  5. Step 5: Solve for x
    x = 1,765,680,400/20,092
  6. Step 6: Final answer
    x = 87,879.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.