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Finding the Third Proportional to 6,401.53 and 13,794.05

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Solution

The third proportional to 6,401.53 and 13,794.05 is: 29,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.53 : 13,794.05 = 13,794.05 : x
  2. Step 2: Convert to fraction form
    6,401.53/13,794.05 = 13,794.05/x
  3. Step 3: Cross multiply
    6,401.53x = 13,794.05 × 13,794.05
  4. Step 4: Simplify right side
    6,401.53x = 190,275,729.19
  5. Step 5: Solve for x
    x = 190,275,729.19/6,401.53
  6. Step 6: Final answer
    x = 29,723.47

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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.