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Finding the Third Proportional to 41,784.50 and 91,837

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Solution

The third proportional to 41,784.50 and 91,837 is: 201,846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,784.50 : 91,837 = 91,837 : x
  2. Step 2: Convert to fraction form
    41,784.50/91,837 = 91,837/x
  3. Step 3: Cross multiply
    41,784.50x = 91,837 × 91,837
  4. Step 4: Simplify right side
    41,784.50x = 8,434,034,569
  5. Step 5: Solve for x
    x = 8,434,034,569/41,784.50
  6. Step 6: Final answer
    x = 201,846.01

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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.