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Finding the Third Proportional to 11,998.13 and 17,450.44

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Solution

The third proportional to 11,998.13 and 17,450.44 is: 25,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.13 : 17,450.44 = 17,450.44 : x
  2. Step 2: Convert to fraction form
    11,998.13/17,450.44 = 17,450.44/x
  3. Step 3: Cross multiply
    11,998.13x = 17,450.44 × 17,450.44
  4. Step 4: Simplify right side
    11,998.13x = 304,517,768.94
  5. Step 5: Solve for x
    x = 304,517,768.94/11,998.13
  6. Step 6: Final answer
    x = 25,380.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.