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Finding the Third Proportional to 6,197 and 12,619

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Solution

The third proportional to 6,197 and 12,619 is: 25,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197 : 12,619 = 12,619 : x
  2. Step 2: Convert to fraction form
    6,197/12,619 = 12,619/x
  3. Step 3: Cross multiply
    6,197x = 12,619 × 12,619
  4. Step 4: Simplify right side
    6,197x = 159,239,161
  5. Step 5: Solve for x
    x = 159,239,161/6,197
  6. Step 6: Final answer
    x = 25,696.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.