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Finding the Third Proportional to 2,768.63 and 6,099.75

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Solution

The third proportional to 2,768.63 and 6,099.75 is: 13,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.63 : 6,099.75 = 6,099.75 : x
  2. Step 2: Convert to fraction form
    2,768.63/6,099.75 = 6,099.75/x
  3. Step 3: Cross multiply
    2,768.63x = 6,099.75 × 6,099.75
  4. Step 4: Simplify right side
    2,768.63x = 37,206,950.06
  5. Step 5: Solve for x
    x = 37,206,950.06/2,768.63
  6. Step 6: Final answer
    x = 13,438.78

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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.