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Finding the Third Proportional to 33,085.97 and 50,319.98

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Solution

The third proportional to 33,085.97 and 50,319.98 is: 76,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.97 : 50,319.98 = 50,319.98 : x
  2. Step 2: Convert to fraction form
    33,085.97/50,319.98 = 50,319.98/x
  3. Step 3: Cross multiply
    33,085.97x = 50,319.98 × 50,319.98
  4. Step 4: Simplify right side
    33,085.97x = 2,532,100,827.50
  5. Step 5: Solve for x
    x = 2,532,100,827.50/33,085.97
  6. Step 6: Final answer
    x = 76,530.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.