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Finding the Third Proportional to 2,274.75 and 3,786.75

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Solution

The third proportional to 2,274.75 and 3,786.75 is: 6,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.75 : 3,786.75 = 3,786.75 : x
  2. Step 2: Convert to fraction form
    2,274.75/3,786.75 = 3,786.75/x
  3. Step 3: Cross multiply
    2,274.75x = 3,786.75 × 3,786.75
  4. Step 4: Simplify right side
    2,274.75x = 14,339,475.56
  5. Step 5: Solve for x
    x = 14,339,475.56/2,274.75
  6. Step 6: Final answer
    x = 6,303.76

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.