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Finding the Third Proportional to 11,431.13 and 16,093.69

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Solution

The third proportional to 11,431.13 and 16,093.69 is: 22,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.13 : 16,093.69 = 16,093.69 : x
  2. Step 2: Convert to fraction form
    11,431.13/16,093.69 = 16,093.69/x
  3. Step 3: Cross multiply
    11,431.13x = 16,093.69 × 16,093.69
  4. Step 4: Simplify right side
    11,431.13x = 259,006,777.35
  5. Step 5: Solve for x
    x = 259,006,777.35/11,431.13
  6. Step 6: Final answer
    x = 22,658.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.