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Finding the Third Proportional to 3,769.03 and 6,574.92

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Solution

The third proportional to 3,769.03 and 6,574.92 is: 11,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.03 : 6,574.92 = 6,574.92 : x
  2. Step 2: Convert to fraction form
    3,769.03/6,574.92 = 6,574.92/x
  3. Step 3: Cross multiply
    3,769.03x = 6,574.92 × 6,574.92
  4. Step 4: Simplify right side
    3,769.03x = 43,229,597.66
  5. Step 5: Solve for x
    x = 43,229,597.66/3,769.03
  6. Step 6: Final answer
    x = 11,469.68

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.