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Finding the Third Proportional to 20,452 and 41,764

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Solution

The third proportional to 20,452 and 41,764 is: 85,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452 : 41,764 = 41,764 : x
  2. Step 2: Convert to fraction form
    20,452/41,764 = 41,764/x
  3. Step 3: Cross multiply
    20,452x = 41,764 × 41,764
  4. Step 4: Simplify right side
    20,452x = 1,744,231,696
  5. Step 5: Solve for x
    x = 1,744,231,696/20,452
  6. Step 6: Final answer
    x = 85,284.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.