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Finding the Third Proportional to 16,243.88 and 33,764.63

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Solution

The third proportional to 16,243.88 and 33,764.63 is: 70,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.88 : 33,764.63 = 33,764.63 : x
  2. Step 2: Convert to fraction form
    16,243.88/33,764.63 = 33,764.63/x
  3. Step 3: Cross multiply
    16,243.88x = 33,764.63 × 33,764.63
  4. Step 4: Simplify right side
    16,243.88x = 1,140,049,901.39
  5. Step 5: Solve for x
    x = 1,140,049,901.39/16,243.88
  6. Step 6: Final answer
    x = 70,183.37

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.