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Finding the Third Proportional to 5,514.75 and 8,249.34

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Solution

The third proportional to 5,514.75 and 8,249.34 is: 12,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.75 : 8,249.34 = 8,249.34 : x
  2. Step 2: Convert to fraction form
    5,514.75/8,249.34 = 8,249.34/x
  3. Step 3: Cross multiply
    5,514.75x = 8,249.34 × 8,249.34
  4. Step 4: Simplify right side
    5,514.75x = 68,051,672.31
  5. Step 5: Solve for x
    x = 68,051,672.31/5,514.75
  6. Step 6: Final answer
    x = 12,339.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.