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Finding the Third Proportional to 2,613.94 and 5,749.31

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Solution

The third proportional to 2,613.94 and 5,749.31 is: 12,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.94 : 5,749.31 = 5,749.31 : x
  2. Step 2: Convert to fraction form
    2,613.94/5,749.31 = 5,749.31/x
  3. Step 3: Cross multiply
    2,613.94x = 5,749.31 × 5,749.31
  4. Step 4: Simplify right side
    2,613.94x = 33,054,594.22
  5. Step 5: Solve for x
    x = 33,054,594.22/2,613.94
  6. Step 6: Final answer
    x = 12,645.52

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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.