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Finding the Third Proportional to 11,333.67 and 16,174.69

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Solution

The third proportional to 11,333.67 and 16,174.69 is: 23,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.67 : 16,174.69 = 16,174.69 : x
  2. Step 2: Convert to fraction form
    11,333.67/16,174.69 = 16,174.69/x
  3. Step 3: Cross multiply
    11,333.67x = 16,174.69 × 16,174.69
  4. Step 4: Simplify right side
    11,333.67x = 261,620,515.72
  5. Step 5: Solve for x
    x = 261,620,515.72/11,333.67
  6. Step 6: Final answer
    x = 23,083.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.