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Finding the Third Proportional to 16,241 and 24,912

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Solution

The third proportional to 16,241 and 24,912 is: 38,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241 : 24,912 = 24,912 : x
  2. Step 2: Convert to fraction form
    16,241/24,912 = 24,912/x
  3. Step 3: Cross multiply
    16,241x = 24,912 × 24,912
  4. Step 4: Simplify right side
    16,241x = 620,607,744
  5. Step 5: Solve for x
    x = 620,607,744/16,241
  6. Step 6: Final answer
    x = 38,212.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.