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Finding the Third Proportional to 20,216 and 41,254

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Solution

The third proportional to 20,216 and 41,254 is: 84,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216 : 41,254 = 41,254 : x
  2. Step 2: Convert to fraction form
    20,216/41,254 = 41,254/x
  3. Step 3: Cross multiply
    20,216x = 41,254 × 41,254
  4. Step 4: Simplify right side
    20,216x = 1,701,892,516
  5. Step 5: Solve for x
    x = 1,701,892,516/20,216
  6. Step 6: Final answer
    x = 84,185.42

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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.