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Finding the Third Proportional to 3,322.59 and 4,514.44

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Solution

The third proportional to 3,322.59 and 4,514.44 is: 6,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.59 : 4,514.44 = 4,514.44 : x
  2. Step 2: Convert to fraction form
    3,322.59/4,514.44 = 4,514.44/x
  3. Step 3: Cross multiply
    3,322.59x = 4,514.44 × 4,514.44
  4. Step 4: Simplify right side
    3,322.59x = 20,380,145.94
  5. Step 5: Solve for x
    x = 20,380,145.94/3,322.59
  6. Step 6: Final answer
    x = 6,133.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.