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Finding the Third Proportional to 6,894 and 11,826

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Solution

The third proportional to 6,894 and 11,826 is: 20,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894 : 11,826 = 11,826 : x
  2. Step 2: Convert to fraction form
    6,894/11,826 = 11,826/x
  3. Step 3: Cross multiply
    6,894x = 11,826 × 11,826
  4. Step 4: Simplify right side
    6,894x = 139,854,276
  5. Step 5: Solve for x
    x = 139,854,276/6,894
  6. Step 6: Final answer
    x = 20,286.38

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.