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Finding the Third Proportional to 2,177 and 5,137

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Solution

The third proportional to 2,177 and 5,137 is: 12,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177 : 5,137 = 5,137 : x
  2. Step 2: Convert to fraction form
    2,177/5,137 = 5,137/x
  3. Step 3: Cross multiply
    2,177x = 5,137 × 5,137
  4. Step 4: Simplify right side
    2,177x = 26,388,769
  5. Step 5: Solve for x
    x = 26,388,769/2,177
  6. Step 6: Final answer
    x = 12,121.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.