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Finding the Third Proportional to 2,613.09 and 5,589.84

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Solution

The third proportional to 2,613.09 and 5,589.84 is: 11,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.09 : 5,589.84 = 5,589.84 : x
  2. Step 2: Convert to fraction form
    2,613.09/5,589.84 = 5,589.84/x
  3. Step 3: Cross multiply
    2,613.09x = 5,589.84 × 5,589.84
  4. Step 4: Simplify right side
    2,613.09x = 31,246,353.15
  5. Step 5: Solve for x
    x = 31,246,353.15/2,613.09
  6. Step 6: Final answer
    x = 11,957.61

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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.