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Finding the Third Proportional to 11,839 and 16,828.50

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Solution

The third proportional to 11,839 and 16,828.50 is: 23,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839 : 16,828.50 = 16,828.50 : x
  2. Step 2: Convert to fraction form
    11,839/16,828.50 = 16,828.50/x
  3. Step 3: Cross multiply
    11,839x = 16,828.50 × 16,828.50
  4. Step 4: Simplify right side
    11,839x = 283,198,412.25
  5. Step 5: Solve for x
    x = 283,198,412.25/11,839
  6. Step 6: Final answer
    x = 23,920.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.