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Finding the Third Proportional to 20,348 and 43,324

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Solution

The third proportional to 20,348 and 43,324 is: 92,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348 : 43,324 = 43,324 : x
  2. Step 2: Convert to fraction form
    20,348/43,324 = 43,324/x
  3. Step 3: Cross multiply
    20,348x = 43,324 × 43,324
  4. Step 4: Simplify right side
    20,348x = 1,876,968,976
  5. Step 5: Solve for x
    x = 1,876,968,976/20,348
  6. Step 6: Final answer
    x = 92,243.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.