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Finding the Third Proportional to 7,786.92 and 16,593.29

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Solution

The third proportional to 7,786.92 and 16,593.29 is: 35,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.92 : 16,593.29 = 16,593.29 : x
  2. Step 2: Convert to fraction form
    7,786.92/16,593.29 = 16,593.29/x
  3. Step 3: Cross multiply
    7,786.92x = 16,593.29 × 16,593.29
  4. Step 4: Simplify right side
    7,786.92x = 275,337,371.55
  5. Step 5: Solve for x
    x = 275,337,371.55/7,786.92
  6. Step 6: Final answer
    x = 35,358.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.