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Finding the Third Proportional to 859.22 and 1,650.09

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Solution

The third proportional to 859.22 and 1,650.09 is: 3,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.22 : 1,650.09 = 1,650.09 : x
  2. Step 2: Convert to fraction form
    859.22/1,650.09 = 1,650.09/x
  3. Step 3: Cross multiply
    859.22x = 1,650.09 × 1,650.09
  4. Step 4: Simplify right side
    859.22x = 2,722,809.38
  5. Step 5: Solve for x
    x = 2,722,809.38/859.22
  6. Step 6: Final answer
    x = 3,168.94

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.