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Finding the Third Proportional to 5,697 and 12,245

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Solution

The third proportional to 5,697 and 12,245 is: 26,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697 : 12,245 = 12,245 : x
  2. Step 2: Convert to fraction form
    5,697/12,245 = 12,245/x
  3. Step 3: Cross multiply
    5,697x = 12,245 × 12,245
  4. Step 4: Simplify right side
    5,697x = 149,940,025
  5. Step 5: Solve for x
    x = 149,940,025/5,697
  6. Step 6: Final answer
    x = 26,319.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.