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Finding the Third Proportional to 1,640.06 and 3,650.44

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Solution

The third proportional to 1,640.06 and 3,650.44 is: 8,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.06 : 3,650.44 = 3,650.44 : x
  2. Step 2: Convert to fraction form
    1,640.06/3,650.44 = 3,650.44/x
  3. Step 3: Cross multiply
    1,640.06x = 3,650.44 × 3,650.44
  4. Step 4: Simplify right side
    1,640.06x = 13,325,693.94
  5. Step 5: Solve for x
    x = 13,325,693.94/1,640.06
  6. Step 6: Final answer
    x = 8,125.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.