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Finding the Third Proportional to 5,447.25 and 12,610.69

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Solution

The third proportional to 5,447.25 and 12,610.69 is: 29,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.25 : 12,610.69 = 12,610.69 : x
  2. Step 2: Convert to fraction form
    5,447.25/12,610.69 = 12,610.69/x
  3. Step 3: Cross multiply
    5,447.25x = 12,610.69 × 12,610.69
  4. Step 4: Simplify right side
    5,447.25x = 159,029,439.22
  5. Step 5: Solve for x
    x = 159,029,439.22/5,447.25
  6. Step 6: Final answer
    x = 29,194.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.