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Finding the Third Proportional to 1,769.34 and 3,794.34

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Solution

The third proportional to 1,769.34 and 3,794.34 is: 8,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.34 : 3,794.34 = 3,794.34 : x
  2. Step 2: Convert to fraction form
    1,769.34/3,794.34 = 3,794.34/x
  3. Step 3: Cross multiply
    1,769.34x = 3,794.34 × 3,794.34
  4. Step 4: Simplify right side
    1,769.34x = 14,397,044.49
  5. Step 5: Solve for x
    x = 14,397,044.49/1,769.34
  6. Step 6: Final answer
    x = 8,136.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.