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Finding the Third Proportional to 11,917.13 and 17,531.44

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Solution

The third proportional to 11,917.13 and 17,531.44 is: 25,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.13 : 17,531.44 = 17,531.44 : x
  2. Step 2: Convert to fraction form
    11,917.13/17,531.44 = 17,531.44/x
  3. Step 3: Cross multiply
    11,917.13x = 17,531.44 × 17,531.44
  4. Step 4: Simplify right side
    11,917.13x = 307,351,300.82
  5. Step 5: Solve for x
    x = 307,351,300.82/11,917.13
  6. Step 6: Final answer
    x = 25,790.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.