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Finding the Third Proportional to 20,347 and 43,322

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Solution

The third proportional to 20,347 and 43,322 is: 92,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347 : 43,322 = 43,322 : x
  2. Step 2: Convert to fraction form
    20,347/43,322 = 43,322/x
  3. Step 3: Cross multiply
    20,347x = 43,322 × 43,322
  4. Step 4: Simplify right side
    20,347x = 1,876,795,684
  5. Step 5: Solve for x
    x = 1,876,795,684/20,347
  6. Step 6: Final answer
    x = 92,239.43

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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.