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Finding the Third Proportional to 6,855.38 and 14,249.63

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Solution

The third proportional to 6,855.38 and 14,249.63 is: 29,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.38 : 14,249.63 = 14,249.63 : x
  2. Step 2: Convert to fraction form
    6,855.38/14,249.63 = 14,249.63/x
  3. Step 3: Cross multiply
    6,855.38x = 14,249.63 × 14,249.63
  4. Step 4: Simplify right side
    6,855.38x = 203,051,812.64
  5. Step 5: Solve for x
    x = 203,051,812.64/6,855.38
  6. Step 6: Final answer
    x = 29,619.36

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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.