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Finding the Third Proportional to 2,796.75 and 5,951.25

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Solution

The third proportional to 2,796.75 and 5,951.25 is: 12,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.75 : 5,951.25 = 5,951.25 : x
  2. Step 2: Convert to fraction form
    2,796.75/5,951.25 = 5,951.25/x
  3. Step 3: Cross multiply
    2,796.75x = 5,951.25 × 5,951.25
  4. Step 4: Simplify right side
    2,796.75x = 35,417,376.56
  5. Step 5: Solve for x
    x = 35,417,376.56/2,796.75
  6. Step 6: Final answer
    x = 12,663.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.