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Finding the Third Proportional to 11,811.75 and 17,771

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Solution

The third proportional to 11,811.75 and 17,771 is: 26,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.75 : 17,771 = 17,771 : x
  2. Step 2: Convert to fraction form
    11,811.75/17,771 = 17,771/x
  3. Step 3: Cross multiply
    11,811.75x = 17,771 × 17,771
  4. Step 4: Simplify right side
    11,811.75x = 315,808,441
  5. Step 5: Solve for x
    x = 315,808,441/11,811.75
  6. Step 6: Final answer
    x = 26,736.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.