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Finding the Third Proportional to 3,369.73 and 6,904.62

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Solution

The third proportional to 3,369.73 and 6,904.62 is: 14,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.73 : 6,904.62 = 6,904.62 : x
  2. Step 2: Convert to fraction form
    3,369.73/6,904.62 = 6,904.62/x
  3. Step 3: Cross multiply
    3,369.73x = 6,904.62 × 6,904.62
  4. Step 4: Simplify right side
    3,369.73x = 47,673,738.51
  5. Step 5: Solve for x
    x = 47,673,738.51/3,369.73
  6. Step 6: Final answer
    x = 14,147.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.