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Finding the Third Proportional to 2,600.86 and 5,596.59

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Solution

The third proportional to 2,600.86 and 5,596.59 is: 12,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.86 : 5,596.59 = 5,596.59 : x
  2. Step 2: Convert to fraction form
    2,600.86/5,596.59 = 5,596.59/x
  3. Step 3: Cross multiply
    2,600.86x = 5,596.59 × 5,596.59
  4. Step 4: Simplify right side
    2,600.86x = 31,321,861.60
  5. Step 5: Solve for x
    x = 31,321,861.60/2,600.86
  6. Step 6: Final answer
    x = 12,042.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.