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Finding the Third Proportional to 2,751.75 and 4,150.69

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Solution

The third proportional to 2,751.75 and 4,150.69 is: 6,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.75 : 4,150.69 = 4,150.69 : x
  2. Step 2: Convert to fraction form
    2,751.75/4,150.69 = 4,150.69/x
  3. Step 3: Cross multiply
    2,751.75x = 4,150.69 × 4,150.69
  4. Step 4: Simplify right side
    2,751.75x = 17,228,206.72
  5. Step 5: Solve for x
    x = 17,228,206.72/2,751.75
  6. Step 6: Final answer
    x = 6,260.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.