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Finding the Third Proportional to 16,824 and 23,589

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Solution

The third proportional to 16,824 and 23,589 is: 33,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824 : 23,589 = 23,589 : x
  2. Step 2: Convert to fraction form
    16,824/23,589 = 23,589/x
  3. Step 3: Cross multiply
    16,824x = 23,589 × 23,589
  4. Step 4: Simplify right side
    16,824x = 556,440,921
  5. Step 5: Solve for x
    x = 556,440,921/16,824
  6. Step 6: Final answer
    x = 33,074.23

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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.