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Finding the Third Proportional to 5,167.88 and 11,348.25

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Solution

The third proportional to 5,167.88 and 11,348.25 is: 24,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.88 : 11,348.25 = 11,348.25 : x
  2. Step 2: Convert to fraction form
    5,167.88/11,348.25 = 11,348.25/x
  3. Step 3: Cross multiply
    5,167.88x = 11,348.25 × 11,348.25
  4. Step 4: Simplify right side
    5,167.88x = 128,782,778.06
  5. Step 5: Solve for x
    x = 128,782,778.06/5,167.88
  6. Step 6: Final answer
    x = 24,919.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.