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Finding the Third Proportional to 942.19 and 2,227.78

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Solution

The third proportional to 942.19 and 2,227.78 is: 5,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.19 : 2,227.78 = 2,227.78 : x
  2. Step 2: Convert to fraction form
    942.19/2,227.78 = 2,227.78/x
  3. Step 3: Cross multiply
    942.19x = 2,227.78 × 2,227.78
  4. Step 4: Simplify right side
    942.19x = 4,963,009.30
  5. Step 5: Solve for x
    x = 4,963,009.30/942.19
  6. Step 6: Final answer
    x = 5,267.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.