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Finding the Third Proportional to 20,397 and 43,241

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Solution

The third proportional to 20,397 and 43,241 is: 91,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,397 : 43,241 = 43,241 : x
  2. Step 2: Convert to fraction form
    20,397/43,241 = 43,241/x
  3. Step 3: Cross multiply
    20,397x = 43,241 × 43,241
  4. Step 4: Simplify right side
    20,397x = 1,869,784,081
  5. Step 5: Solve for x
    x = 1,869,784,081/20,397
  6. Step 6: Final answer
    x = 91,669.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.