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Finding the Third Proportional to 5,531.63 and 11,942.44

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Solution

The third proportional to 5,531.63 and 11,942.44 is: 25,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.63 : 11,942.44 = 11,942.44 : x
  2. Step 2: Convert to fraction form
    5,531.63/11,942.44 = 11,942.44/x
  3. Step 3: Cross multiply
    5,531.63x = 11,942.44 × 11,942.44
  4. Step 4: Simplify right side
    5,531.63x = 142,621,813.44
  5. Step 5: Solve for x
    x = 142,621,813.44/5,531.63
  6. Step 6: Final answer
    x = 25,782.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.