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Finding the Third Proportional to 8,151.75 and 11,883.38

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Solution

The third proportional to 8,151.75 and 11,883.38 is: 17,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.75 : 11,883.38 = 11,883.38 : x
  2. Step 2: Convert to fraction form
    8,151.75/11,883.38 = 11,883.38/x
  3. Step 3: Cross multiply
    8,151.75x = 11,883.38 × 11,883.38
  4. Step 4: Simplify right side
    8,151.75x = 141,214,601.39
  5. Step 5: Solve for x
    x = 141,214,601.39/8,151.75
  6. Step 6: Final answer
    x = 17,323.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.