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Finding the Third Proportional to 33,185.87 and 52,574.50

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Solution

The third proportional to 33,185.87 and 52,574.50 is: 83,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,185.87 : 52,574.50 = 52,574.50 : x
  2. Step 2: Convert to fraction form
    33,185.87/52,574.50 = 52,574.50/x
  3. Step 3: Cross multiply
    33,185.87x = 52,574.50 × 52,574.50
  4. Step 4: Simplify right side
    33,185.87x = 2,764,077,793.54
  5. Step 5: Solve for x
    x = 2,764,077,793.54/33,185.87
  6. Step 6: Final answer
    x = 83,290.79

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.