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Finding the Third Proportional to 3,717.46 and 5,764.92

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Solution

The third proportional to 3,717.46 and 5,764.92 is: 8,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.46 : 5,764.92 = 5,764.92 : x
  2. Step 2: Convert to fraction form
    3,717.46/5,764.92 = 5,764.92/x
  3. Step 3: Cross multiply
    3,717.46x = 5,764.92 × 5,764.92
  4. Step 4: Simplify right side
    3,717.46x = 33,234,324.22
  5. Step 5: Solve for x
    x = 33,234,324.22/3,717.46
  6. Step 6: Final answer
    x = 8,940.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.