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Finding the Third Proportional to 20,298 and 41,154

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Solution

The third proportional to 20,298 and 41,154 is: 83,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298 : 41,154 = 41,154 : x
  2. Step 2: Convert to fraction form
    20,298/41,154 = 41,154/x
  3. Step 3: Cross multiply
    20,298x = 41,154 × 41,154
  4. Step 4: Simplify right side
    20,298x = 1,693,651,716
  5. Step 5: Solve for x
    x = 1,693,651,716/20,298
  6. Step 6: Final answer
    x = 83,439.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.