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Finding the Third Proportional to 6,853.36 and 14,245.24

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Solution

The third proportional to 6,853.36 and 14,245.24 is: 29,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.36 : 14,245.24 = 14,245.24 : x
  2. Step 2: Convert to fraction form
    6,853.36/14,245.24 = 14,245.24/x
  3. Step 3: Cross multiply
    6,853.36x = 14,245.24 × 14,245.24
  4. Step 4: Simplify right side
    6,853.36x = 202,926,924.98
  5. Step 5: Solve for x
    x = 202,926,924.98/6,853.36
  6. Step 6: Final answer
    x = 29,609.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.