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Finding the Third Proportional to 16,839 and 23,549

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Solution

The third proportional to 16,839 and 23,549 is: 32,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839 : 23,549 = 23,549 : x
  2. Step 2: Convert to fraction form
    16,839/23,549 = 23,549/x
  3. Step 3: Cross multiply
    16,839x = 23,549 × 23,549
  4. Step 4: Simplify right side
    16,839x = 554,555,401
  5. Step 5: Solve for x
    x = 554,555,401/16,839
  6. Step 6: Final answer
    x = 32,932.80

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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.