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Finding the Third Proportional to 12,381 and 26,814

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Solution

The third proportional to 12,381 and 26,814 is: 58,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381 : 26,814 = 26,814 : x
  2. Step 2: Convert to fraction form
    12,381/26,814 = 26,814/x
  3. Step 3: Cross multiply
    12,381x = 26,814 × 26,814
  4. Step 4: Simplify right side
    12,381x = 718,990,596
  5. Step 5: Solve for x
    x = 718,990,596/12,381
  6. Step 6: Final answer
    x = 58,072.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.