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Finding the Third Proportional to 41,844.38 and 62,766

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Solution

The third proportional to 41,844.38 and 62,766 is: 94,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,844.38 : 62,766 = 62,766 : x
  2. Step 2: Convert to fraction form
    41,844.38/62,766 = 62,766/x
  3. Step 3: Cross multiply
    41,844.38x = 62,766 × 62,766
  4. Step 4: Simplify right side
    41,844.38x = 3,939,570,756
  5. Step 5: Solve for x
    x = 3,939,570,756/41,844.38
  6. Step 6: Final answer
    x = 94,148.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.