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Finding the Third Proportional to 6,468.19 and 13,771.69

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Solution

The third proportional to 6,468.19 and 13,771.69 is: 29,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.19 : 13,771.69 = 13,771.69 : x
  2. Step 2: Convert to fraction form
    6,468.19/13,771.69 = 13,771.69/x
  3. Step 3: Cross multiply
    6,468.19x = 13,771.69 × 13,771.69
  4. Step 4: Simplify right side
    6,468.19x = 189,659,376.60
  5. Step 5: Solve for x
    x = 189,659,376.60/6,468.19
  6. Step 6: Final answer
    x = 29,321.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.