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Finding the Third Proportional to 33,698.53 and 52,861.99

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Solution

The third proportional to 33,698.53 and 52,861.99 is: 82,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698.53 : 52,861.99 = 52,861.99 : x
  2. Step 2: Convert to fraction form
    33,698.53/52,861.99 = 52,861.99/x
  3. Step 3: Cross multiply
    33,698.53x = 52,861.99 × 52,861.99
  4. Step 4: Simplify right side
    33,698.53x = 2,794,390,218.03
  5. Step 5: Solve for x
    x = 2,794,390,218.03/33,698.53
  6. Step 6: Final answer
    x = 82,923.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.