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Finding the Third Proportional to 5,238 and 12,177

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Solution

The third proportional to 5,238 and 12,177 is: 28,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 12,177 = 12,177 : x
  2. Step 2: Convert to fraction form
    5,238/12,177 = 12,177/x
  3. Step 3: Cross multiply
    5,238x = 12,177 × 12,177
  4. Step 4: Simplify right side
    5,238x = 148,279,329
  5. Step 5: Solve for x
    x = 148,279,329/5,238
  6. Step 6: Final answer
    x = 28,308.39

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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.