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Finding the Third Proportional to 5,418.56 and 7,922.81

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Solution

The third proportional to 5,418.56 and 7,922.81 is: 11,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.56 : 7,922.81 = 7,922.81 : x
  2. Step 2: Convert to fraction form
    5,418.56/7,922.81 = 7,922.81/x
  3. Step 3: Cross multiply
    5,418.56x = 7,922.81 × 7,922.81
  4. Step 4: Simplify right side
    5,418.56x = 62,770,957.91
  5. Step 5: Solve for x
    x = 62,770,957.91/5,418.56
  6. Step 6: Final answer
    x = 11,584.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.