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Finding the Third Proportional to 11,481.75 and 14,785.03

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Solution

The third proportional to 11,481.75 and 14,785.03 is: 19,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.75 : 14,785.03 = 14,785.03 : x
  2. Step 2: Convert to fraction form
    11,481.75/14,785.03 = 14,785.03/x
  3. Step 3: Cross multiply
    11,481.75x = 14,785.03 × 14,785.03
  4. Step 4: Simplify right side
    11,481.75x = 218,597,149.06
  5. Step 5: Solve for x
    x = 218,597,149.06/11,481.75
  6. Step 6: Final answer
    x = 19,038.66

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.