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Finding the Third Proportional to 20,112 and 42,895

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Solution

The third proportional to 20,112 and 42,895 is: 91,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 42,895 = 42,895 : x
  2. Step 2: Convert to fraction form
    20,112/42,895 = 42,895/x
  3. Step 3: Cross multiply
    20,112x = 42,895 × 42,895
  4. Step 4: Simplify right side
    20,112x = 1,839,981,025
  5. Step 5: Solve for x
    x = 1,839,981,025/20,112
  6. Step 6: Final answer
    x = 91,486.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.