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Finding the Third Proportional to 11,481.75 and 12,951.14

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Solution

The third proportional to 11,481.75 and 12,951.14 is: 14,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.75 : 12,951.14 = 12,951.14 : x
  2. Step 2: Convert to fraction form
    11,481.75/12,951.14 = 12,951.14/x
  3. Step 3: Cross multiply
    11,481.75x = 12,951.14 × 12,951.14
  4. Step 4: Simplify right side
    11,481.75x = 167,732,043.49
  5. Step 5: Solve for x
    x = 167,732,043.49/11,481.75
  6. Step 6: Final answer
    x = 14,608.58

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.