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Finding the Third Proportional to 2,550.23 and 3,909.52

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Solution

The third proportional to 2,550.23 and 3,909.52 is: 5,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.23 : 3,909.52 = 3,909.52 : x
  2. Step 2: Convert to fraction form
    2,550.23/3,909.52 = 3,909.52/x
  3. Step 3: Cross multiply
    2,550.23x = 3,909.52 × 3,909.52
  4. Step 4: Simplify right side
    2,550.23x = 15,284,312.42
  5. Step 5: Solve for x
    x = 15,284,312.42/2,550.23
  6. Step 6: Final answer
    x = 5,993.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.