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Finding the Third Proportional to 17,812 and 27,168

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Solution

The third proportional to 17,812 and 27,168 is: 41,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812 : 27,168 = 27,168 : x
  2. Step 2: Convert to fraction form
    17,812/27,168 = 27,168/x
  3. Step 3: Cross multiply
    17,812x = 27,168 × 27,168
  4. Step 4: Simplify right side
    17,812x = 738,100,224
  5. Step 5: Solve for x
    x = 738,100,224/17,812
  6. Step 6: Final answer
    x = 41,438.37

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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.