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Finding the Third Proportional to 16,198 and 26,449.88

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Solution

The third proportional to 16,198 and 26,449.88 is: 43,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198 : 26,449.88 = 26,449.88 : x
  2. Step 2: Convert to fraction form
    16,198/26,449.88 = 26,449.88/x
  3. Step 3: Cross multiply
    16,198x = 26,449.88 × 26,449.88
  4. Step 4: Simplify right side
    16,198x = 699,595,887.52
  5. Step 5: Solve for x
    x = 699,595,887.52/16,198
  6. Step 6: Final answer
    x = 43,190.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.