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Finding the Third Proportional to 5,749 and 12,177

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Solution

The third proportional to 5,749 and 12,177 is: 25,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749 : 12,177 = 12,177 : x
  2. Step 2: Convert to fraction form
    5,749/12,177 = 12,177/x
  3. Step 3: Cross multiply
    5,749x = 12,177 × 12,177
  4. Step 4: Simplify right side
    5,749x = 148,279,329
  5. Step 5: Solve for x
    x = 148,279,329/5,749
  6. Step 6: Final answer
    x = 25,792.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.