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Finding the Third Proportional to 3,654.70 and 5,514.75

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Solution

The third proportional to 3,654.70 and 5,514.75 is: 8,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.70 : 5,514.75 = 5,514.75 : x
  2. Step 2: Convert to fraction form
    3,654.70/5,514.75 = 5,514.75/x
  3. Step 3: Cross multiply
    3,654.70x = 5,514.75 × 5,514.75
  4. Step 4: Simplify right side
    3,654.70x = 30,412,467.56
  5. Step 5: Solve for x
    x = 30,412,467.56/3,654.70
  6. Step 6: Final answer
    x = 8,321.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.