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Finding the Third Proportional to 41,536 and 91,382

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Solution

The third proportional to 41,536 and 91,382 is: 201,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536 : 91,382 = 91,382 : x
  2. Step 2: Convert to fraction form
    41,536/91,382 = 91,382/x
  3. Step 3: Cross multiply
    41,536x = 91,382 × 91,382
  4. Step 4: Simplify right side
    41,536x = 8,350,669,924
  5. Step 5: Solve for x
    x = 8,350,669,924/41,536
  6. Step 6: Final answer
    x = 201,046.56

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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.