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Finding the Third Proportional to 3,514.36 and 5,218.69

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Solution

The third proportional to 3,514.36 and 5,218.69 is: 7,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.36 : 5,218.69 = 5,218.69 : x
  2. Step 2: Convert to fraction form
    3,514.36/5,218.69 = 5,218.69/x
  3. Step 3: Cross multiply
    3,514.36x = 5,218.69 × 5,218.69
  4. Step 4: Simplify right side
    3,514.36x = 27,234,683.93
  5. Step 5: Solve for x
    x = 27,234,683.93/3,514.36
  6. Step 6: Final answer
    x = 7,749.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.