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Finding the Third Proportional to 11,524.94 and 17,393.38

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Solution

The third proportional to 11,524.94 and 17,393.38 is: 26,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.94 : 17,393.38 = 17,393.38 : x
  2. Step 2: Convert to fraction form
    11,524.94/17,393.38 = 17,393.38/x
  3. Step 3: Cross multiply
    11,524.94x = 17,393.38 × 17,393.38
  4. Step 4: Simplify right side
    11,524.94x = 302,529,493.89
  5. Step 5: Solve for x
    x = 302,529,493.89/11,524.94
  6. Step 6: Final answer
    x = 26,249.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.