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Finding the Third Proportional to 1,601.86 and 3,443.34

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Solution

The third proportional to 1,601.86 and 3,443.34 is: 7,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.86 : 3,443.34 = 3,443.34 : x
  2. Step 2: Convert to fraction form
    1,601.86/3,443.34 = 3,443.34/x
  3. Step 3: Cross multiply
    1,601.86x = 3,443.34 × 3,443.34
  4. Step 4: Simplify right side
    1,601.86x = 11,856,616.18
  5. Step 5: Solve for x
    x = 11,856,616.18/1,601.86
  6. Step 6: Final answer
    x = 7,401.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.