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Finding the Third Proportional to 24,241 and 33,172

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Solution

The third proportional to 24,241 and 33,172 is: 45,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241 : 33,172 = 33,172 : x
  2. Step 2: Convert to fraction form
    24,241/33,172 = 33,172/x
  3. Step 3: Cross multiply
    24,241x = 33,172 × 33,172
  4. Step 4: Simplify right side
    24,241x = 1,100,381,584
  5. Step 5: Solve for x
    x = 1,100,381,584/24,241
  6. Step 6: Final answer
    x = 45,393.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.