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Finding the Third Proportional to 18,965 and 27,761

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Solution

The third proportional to 18,965 and 27,761 is: 40,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,965 : 27,761 = 27,761 : x
  2. Step 2: Convert to fraction form
    18,965/27,761 = 27,761/x
  3. Step 3: Cross multiply
    18,965x = 27,761 × 27,761
  4. Step 4: Simplify right side
    18,965x = 770,673,121
  5. Step 5: Solve for x
    x = 770,673,121/18,965
  6. Step 6: Final answer
    x = 40,636.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.