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Finding the Third Proportional to 5,585.20 and 11,629.83

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Solution

The third proportional to 5,585.20 and 11,629.83 is: 24,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.20 : 11,629.83 = 11,629.83 : x
  2. Step 2: Convert to fraction form
    5,585.20/11,629.83 = 11,629.83/x
  3. Step 3: Cross multiply
    5,585.20x = 11,629.83 × 11,629.83
  4. Step 4: Simplify right side
    5,585.20x = 135,252,902.22
  5. Step 5: Solve for x
    x = 135,252,902.22/5,585.20
  6. Step 6: Final answer
    x = 24,216.29

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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.