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Finding the Third Proportional to 19,993.50 and 33,319.50

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Solution

The third proportional to 19,993.50 and 33,319.50 is: 55,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.50 : 33,319.50 = 33,319.50 : x
  2. Step 2: Convert to fraction form
    19,993.50/33,319.50 = 33,319.50/x
  3. Step 3: Cross multiply
    19,993.50x = 33,319.50 × 33,319.50
  4. Step 4: Simplify right side
    19,993.50x = 1,110,189,080.25
  5. Step 5: Solve for x
    x = 1,110,189,080.25/19,993.50
  6. Step 6: Final answer
    x = 55,527.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.