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Finding the Third Proportional to 6,131.72 and 12,993.86

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Solution

The third proportional to 6,131.72 and 12,993.86 is: 27,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.72 : 12,993.86 = 12,993.86 : x
  2. Step 2: Convert to fraction form
    6,131.72/12,993.86 = 12,993.86/x
  3. Step 3: Cross multiply
    6,131.72x = 12,993.86 × 12,993.86
  4. Step 4: Simplify right side
    6,131.72x = 168,840,279.94
  5. Step 5: Solve for x
    x = 168,840,279.94/6,131.72
  6. Step 6: Final answer
    x = 27,535.57

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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.