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Finding the Third Proportional to 5,893.88 and 12,266.44

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Solution

The third proportional to 5,893.88 and 12,266.44 is: 25,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.88 : 12,266.44 = 12,266.44 : x
  2. Step 2: Convert to fraction form
    5,893.88/12,266.44 = 12,266.44/x
  3. Step 3: Cross multiply
    5,893.88x = 12,266.44 × 12,266.44
  4. Step 4: Simplify right side
    5,893.88x = 150,465,488.94
  5. Step 5: Solve for x
    x = 150,465,488.94/5,893.88
  6. Step 6: Final answer
    x = 25,529.13

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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.