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Finding the Third Proportional to 3,185.25 and 6,780.56

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Solution

The third proportional to 3,185.25 and 6,780.56 is: 14,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.25 : 6,780.56 = 6,780.56 : x
  2. Step 2: Convert to fraction form
    3,185.25/6,780.56 = 6,780.56/x
  3. Step 3: Cross multiply
    3,185.25x = 6,780.56 × 6,780.56
  4. Step 4: Simplify right side
    3,185.25x = 45,976,027.82
  5. Step 5: Solve for x
    x = 45,976,027.82/3,185.25
  6. Step 6: Final answer
    x = 14,434.04

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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.