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Finding the Third Proportional to 2,110.78 and 2,440.97

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Solution

The third proportional to 2,110.78 and 2,440.97 is: 2,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.78 : 2,440.97 = 2,440.97 : x
  2. Step 2: Convert to fraction form
    2,110.78/2,440.97 = 2,440.97/x
  3. Step 3: Cross multiply
    2,110.78x = 2,440.97 × 2,440.97
  4. Step 4: Simplify right side
    2,110.78x = 5,958,328.44
  5. Step 5: Solve for x
    x = 5,958,328.44/2,110.78
  6. Step 6: Final answer
    x = 2,822.81

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.