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Finding the Third Proportional to 8,187.75 and 11,998.13

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Solution

The third proportional to 8,187.75 and 11,998.13 is: 17,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.75 : 11,998.13 = 11,998.13 : x
  2. Step 2: Convert to fraction form
    8,187.75/11,998.13 = 11,998.13/x
  3. Step 3: Cross multiply
    8,187.75x = 11,998.13 × 11,998.13
  4. Step 4: Simplify right side
    8,187.75x = 143,955,003.52
  5. Step 5: Solve for x
    x = 143,955,003.52/8,187.75
  6. Step 6: Final answer
    x = 17,581.75

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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.