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Finding the Third Proportional to 5,578.56 and 11,631.25

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Solution

The third proportional to 5,578.56 and 11,631.25 is: 24,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.56 : 11,631.25 = 11,631.25 : x
  2. Step 2: Convert to fraction form
    5,578.56/11,631.25 = 11,631.25/x
  3. Step 3: Cross multiply
    5,578.56x = 11,631.25 × 11,631.25
  4. Step 4: Simplify right side
    5,578.56x = 135,286,022.00
  5. Step 5: Solve for x
    x = 135,286,022.00/5,578.56
  6. Step 6: Final answer
    x = 24,251.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.