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Finding the Third Proportional to 11,881 and 16,609.75

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Solution

The third proportional to 11,881 and 16,609.75 is: 23,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881 : 16,609.75 = 16,609.75 : x
  2. Step 2: Convert to fraction form
    11,881/16,609.75 = 16,609.75/x
  3. Step 3: Cross multiply
    11,881x = 16,609.75 × 16,609.75
  4. Step 4: Simplify right side
    11,881x = 275,883,795.06
  5. Step 5: Solve for x
    x = 275,883,795.06/11,881
  6. Step 6: Final answer
    x = 23,220.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.