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Finding the Third Proportional to 3,502.38 and 5,174.75

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Solution

The third proportional to 3,502.38 and 5,174.75 is: 7,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.38 : 5,174.75 = 5,174.75 : x
  2. Step 2: Convert to fraction form
    3,502.38/5,174.75 = 5,174.75/x
  3. Step 3: Cross multiply
    3,502.38x = 5,174.75 × 5,174.75
  4. Step 4: Simplify right side
    3,502.38x = 26,778,037.56
  5. Step 5: Solve for x
    x = 26,778,037.56/3,502.38
  6. Step 6: Final answer
    x = 7,645.68

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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.