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Finding the Third Proportional to 41,538 and 91,380

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Solution

The third proportional to 41,538 and 91,380 is: 201,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,538 : 91,380 = 91,380 : x
  2. Step 2: Convert to fraction form
    41,538/91,380 = 91,380/x
  3. Step 3: Cross multiply
    41,538x = 91,380 × 91,380
  4. Step 4: Simplify right side
    41,538x = 8,350,304,400
  5. Step 5: Solve for x
    x = 8,350,304,400/41,538
  6. Step 6: Final answer
    x = 201,028.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.