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Finding the Third Proportional to 5,589.70 and 11,845.69

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Solution

The third proportional to 5,589.70 and 11,845.69 is: 25,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.70 : 11,845.69 = 11,845.69 : x
  2. Step 2: Convert to fraction form
    5,589.70/11,845.69 = 11,845.69/x
  3. Step 3: Cross multiply
    5,589.70x = 11,845.69 × 11,845.69
  4. Step 4: Simplify right side
    5,589.70x = 140,320,312.35
  5. Step 5: Solve for x
    x = 140,320,312.35/5,589.70
  6. Step 6: Final answer
    x = 25,103.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.