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Finding the Third Proportional to 31,601 and 66,766

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Solution

The third proportional to 31,601 and 66,766 is: 141,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601 : 66,766 = 66,766 : x
  2. Step 2: Convert to fraction form
    31,601/66,766 = 66,766/x
  3. Step 3: Cross multiply
    31,601x = 66,766 × 66,766
  4. Step 4: Simplify right side
    31,601x = 4,457,698,756
  5. Step 5: Solve for x
    x = 4,457,698,756/31,601
  6. Step 6: Final answer
    x = 141,061.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.