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Finding the Third Proportional to 16,090.50 and 33,651.44

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Solution

The third proportional to 16,090.50 and 33,651.44 is: 70,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.50 : 33,651.44 = 33,651.44 : x
  2. Step 2: Convert to fraction form
    16,090.50/33,651.44 = 33,651.44/x
  3. Step 3: Cross multiply
    16,090.50x = 33,651.44 × 33,651.44
  4. Step 4: Simplify right side
    16,090.50x = 1,132,419,245.82
  5. Step 5: Solve for x
    x = 1,132,419,245.82/16,090.50
  6. Step 6: Final answer
    x = 70,378.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.