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Finding the Third Proportional to 41,848 and 62,866

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Solution

The third proportional to 41,848 and 62,866 is: 94,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,848 : 62,866 = 62,866 : x
  2. Step 2: Convert to fraction form
    41,848/62,866 = 62,866/x
  3. Step 3: Cross multiply
    41,848x = 62,866 × 62,866
  4. Step 4: Simplify right side
    41,848x = 3,952,133,956
  5. Step 5: Solve for x
    x = 3,952,133,956/41,848
  6. Step 6: Final answer
    x = 94,440.21

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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.