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Finding the Third Proportional to 1,771.24 and 2,380.64

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Solution

The third proportional to 1,771.24 and 2,380.64 is: 3,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.24 : 2,380.64 = 2,380.64 : x
  2. Step 2: Convert to fraction form
    1,771.24/2,380.64 = 2,380.64/x
  3. Step 3: Cross multiply
    1,771.24x = 2,380.64 × 2,380.64
  4. Step 4: Simplify right side
    1,771.24x = 5,667,449.79
  5. Step 5: Solve for x
    x = 5,667,449.79/1,771.24
  6. Step 6: Final answer
    x = 3,199.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.