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Finding the Third Proportional to 942.56 and 1,910.44

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Solution

The third proportional to 942.56 and 1,910.44 is: 3,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.56 : 1,910.44 = 1,910.44 : x
  2. Step 2: Convert to fraction form
    942.56/1,910.44 = 1,910.44/x
  3. Step 3: Cross multiply
    942.56x = 1,910.44 × 1,910.44
  4. Step 4: Simplify right side
    942.56x = 3,649,771.44
  5. Step 5: Solve for x
    x = 3,649,771.44/942.56
  6. Step 6: Final answer
    x = 3,872.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.