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Finding the Third Proportional to 20,182 and 40,795

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Solution

The third proportional to 20,182 and 40,795 is: 82,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182 : 40,795 = 40,795 : x
  2. Step 2: Convert to fraction form
    20,182/40,795 = 40,795/x
  3. Step 3: Cross multiply
    20,182x = 40,795 × 40,795
  4. Step 4: Simplify right side
    20,182x = 1,664,232,025
  5. Step 5: Solve for x
    x = 1,664,232,025/20,182
  6. Step 6: Final answer
    x = 82,461.20

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.