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Finding the Third Proportional to 41,584 and 91,471

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Solution

The third proportional to 41,584 and 91,471 is: 201,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,584 : 91,471 = 91,471 : x
  2. Step 2: Convert to fraction form
    41,584/91,471 = 91,471/x
  3. Step 3: Cross multiply
    41,584x = 91,471 × 91,471
  4. Step 4: Simplify right side
    41,584x = 8,366,943,841
  5. Step 5: Solve for x
    x = 8,366,943,841/41,584
  6. Step 6: Final answer
    x = 201,205.84

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