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Finding the Third Proportional to 33,170.50 and 52,754.50

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Solution

The third proportional to 33,170.50 and 52,754.50 is: 83,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170.50 : 52,754.50 = 52,754.50 : x
  2. Step 2: Convert to fraction form
    33,170.50/52,754.50 = 52,754.50/x
  3. Step 3: Cross multiply
    33,170.50x = 52,754.50 × 52,754.50
  4. Step 4: Simplify right side
    33,170.50x = 2,783,037,270.25
  5. Step 5: Solve for x
    x = 2,783,037,270.25/33,170.50
  6. Step 6: Final answer
    x = 83,900.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.