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Finding the Third Proportional to 5,651.50 and 11,696

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Solution

The third proportional to 5,651.50 and 11,696 is: 24,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.50 : 11,696 = 11,696 : x
  2. Step 2: Convert to fraction form
    5,651.50/11,696 = 11,696/x
  3. Step 3: Cross multiply
    5,651.50x = 11,696 × 11,696
  4. Step 4: Simplify right side
    5,651.50x = 136,796,416
  5. Step 5: Solve for x
    x = 136,796,416/5,651.50
  6. Step 6: Final answer
    x = 24,205.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.