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Finding the Third Proportional to 2,593.55 and 5,556.90

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Solution

The third proportional to 2,593.55 and 5,556.90 is: 11,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.55 : 5,556.90 = 5,556.90 : x
  2. Step 2: Convert to fraction form
    2,593.55/5,556.90 = 5,556.90/x
  3. Step 3: Cross multiply
    2,593.55x = 5,556.90 × 5,556.90
  4. Step 4: Simplify right side
    2,593.55x = 30,879,163.66
  5. Step 5: Solve for x
    x = 30,879,163.66/2,593.55
  6. Step 6: Final answer
    x = 11,906.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.