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Finding the Third Proportional to 12,786 and 27,965

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Solution

The third proportional to 12,786 and 27,965 is: 61,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786 : 27,965 = 27,965 : x
  2. Step 2: Convert to fraction form
    12,786/27,965 = 27,965/x
  3. Step 3: Cross multiply
    12,786x = 27,965 × 27,965
  4. Step 4: Simplify right side
    12,786x = 782,041,225
  5. Step 5: Solve for x
    x = 782,041,225/12,786
  6. Step 6: Final answer
    x = 61,163.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.