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Finding the Third Proportional to 33,621.75 and 47,120.06

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Solution

The third proportional to 33,621.75 and 47,120.06 is: 66,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,621.75 : 47,120.06 = 47,120.06 : x
  2. Step 2: Convert to fraction form
    33,621.75/47,120.06 = 47,120.06/x
  3. Step 3: Cross multiply
    33,621.75x = 47,120.06 × 47,120.06
  4. Step 4: Simplify right side
    33,621.75x = 2,220,300,290.00
  5. Step 5: Solve for x
    x = 2,220,300,290.00/33,621.75
  6. Step 6: Final answer
    x = 66,037.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.