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Finding the Third Proportional to 11,455.69 and 17,737.69

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Solution

The third proportional to 11,455.69 and 17,737.69 is: 27,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.69 : 17,737.69 = 17,737.69 : x
  2. Step 2: Convert to fraction form
    11,455.69/17,737.69 = 17,737.69/x
  3. Step 3: Cross multiply
    11,455.69x = 17,737.69 × 17,737.69
  4. Step 4: Simplify right side
    11,455.69x = 314,625,557.85
  5. Step 5: Solve for x
    x = 314,625,557.85/11,455.69
  6. Step 6: Final answer
    x = 27,464.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.