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Finding the Third Proportional to 5,001.75 and 11,790.75

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Solution

The third proportional to 5,001.75 and 11,790.75 is: 27,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.75 : 11,790.75 = 11,790.75 : x
  2. Step 2: Convert to fraction form
    5,001.75/11,790.75 = 11,790.75/x
  3. Step 3: Cross multiply
    5,001.75x = 11,790.75 × 11,790.75
  4. Step 4: Simplify right side
    5,001.75x = 139,021,785.56
  5. Step 5: Solve for x
    x = 139,021,785.56/5,001.75
  6. Step 6: Final answer
    x = 27,794.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.