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Finding the Third Proportional to 41,586 and 66,519

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Solution

The third proportional to 41,586 and 66,519 is: 106,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,586 : 66,519 = 66,519 : x
  2. Step 2: Convert to fraction form
    41,586/66,519 = 66,519/x
  3. Step 3: Cross multiply
    41,586x = 66,519 × 66,519
  4. Step 4: Simplify right side
    41,586x = 4,424,777,361
  5. Step 5: Solve for x
    x = 4,424,777,361/41,586
  6. Step 6: Final answer
    x = 106,400.65

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.