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Finding the Third Proportional to 20,296 and 41,148

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Solution

The third proportional to 20,296 and 41,148 is: 83,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296 : 41,148 = 41,148 : x
  2. Step 2: Convert to fraction form
    20,296/41,148 = 41,148/x
  3. Step 3: Cross multiply
    20,296x = 41,148 × 41,148
  4. Step 4: Simplify right side
    20,296x = 1,693,157,904
  5. Step 5: Solve for x
    x = 1,693,157,904/20,296
  6. Step 6: Final answer
    x = 83,423.23

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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.