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Finding the Third Proportional to 11,706 and 27,990

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Solution

The third proportional to 11,706 and 27,990 is: 66,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706 : 27,990 = 27,990 : x
  2. Step 2: Convert to fraction form
    11,706/27,990 = 27,990/x
  3. Step 3: Cross multiply
    11,706x = 27,990 × 27,990
  4. Step 4: Simplify right side
    11,706x = 783,440,100
  5. Step 5: Solve for x
    x = 783,440,100/11,706
  6. Step 6: Final answer
    x = 66,926.37

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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.