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Finding the Third Proportional to 6,418.13 and 13,794.19

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Solution

The third proportional to 6,418.13 and 13,794.19 is: 29,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.13 : 13,794.19 = 13,794.19 : x
  2. Step 2: Convert to fraction form
    6,418.13/13,794.19 = 13,794.19/x
  3. Step 3: Cross multiply
    6,418.13x = 13,794.19 × 13,794.19
  4. Step 4: Simplify right side
    6,418.13x = 190,279,608.79
  5. Step 5: Solve for x
    x = 190,279,608.79/6,418.13
  6. Step 6: Final answer
    x = 29,647.23

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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.