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Finding the Third Proportional to 33,046.50 and 69,861

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Solution

The third proportional to 33,046.50 and 69,861 is: 147,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.50 : 69,861 = 69,861 : x
  2. Step 2: Convert to fraction form
    33,046.50/69,861 = 69,861/x
  3. Step 3: Cross multiply
    33,046.50x = 69,861 × 69,861
  4. Step 4: Simplify right side
    33,046.50x = 4,880,559,321
  5. Step 5: Solve for x
    x = 4,880,559,321/33,046.50
  6. Step 6: Final answer
    x = 147,687.63

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