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Finding the Third Proportional to 2,786.50 and 6,121.75

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Solution

The third proportional to 2,786.50 and 6,121.75 is: 13,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.50 : 6,121.75 = 6,121.75 : x
  2. Step 2: Convert to fraction form
    2,786.50/6,121.75 = 6,121.75/x
  3. Step 3: Cross multiply
    2,786.50x = 6,121.75 × 6,121.75
  4. Step 4: Simplify right side
    2,786.50x = 37,475,823.06
  5. Step 5: Solve for x
    x = 37,475,823.06/2,786.50
  6. Step 6: Final answer
    x = 13,449.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.