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Finding the Third Proportional to 3,383.65 and 5,207.73

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Solution

The third proportional to 3,383.65 and 5,207.73 is: 8,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.65 : 5,207.73 = 5,207.73 : x
  2. Step 2: Convert to fraction form
    3,383.65/5,207.73 = 5,207.73/x
  3. Step 3: Cross multiply
    3,383.65x = 5,207.73 × 5,207.73
  4. Step 4: Simplify right side
    3,383.65x = 27,120,456.64
  5. Step 5: Solve for x
    x = 27,120,456.64/3,383.65
  6. Step 6: Final answer
    x = 8,015.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.