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Finding the Third Proportional to 5,759.44 and 12,561.19

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Solution

The third proportional to 5,759.44 and 12,561.19 is: 27,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.44 : 12,561.19 = 12,561.19 : x
  2. Step 2: Convert to fraction form
    5,759.44/12,561.19 = 12,561.19/x
  3. Step 3: Cross multiply
    5,759.44x = 12,561.19 × 12,561.19
  4. Step 4: Simplify right side
    5,759.44x = 157,783,431.41
  5. Step 5: Solve for x
    x = 157,783,431.41/5,759.44
  6. Step 6: Final answer
    x = 27,395.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.