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Finding the Third Proportional to 11,704 and 27,964

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Solution

The third proportional to 11,704 and 27,964 is: 66,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704 : 27,964 = 27,964 : x
  2. Step 2: Convert to fraction form
    11,704/27,964 = 27,964/x
  3. Step 3: Cross multiply
    11,704x = 27,964 × 27,964
  4. Step 4: Simplify right side
    11,704x = 781,985,296
  5. Step 5: Solve for x
    x = 781,985,296/11,704
  6. Step 6: Final answer
    x = 66,813.51

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.