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Finding the Third Proportional to 18,946 and 27,731

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Solution

The third proportional to 18,946 and 27,731 is: 40,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946 : 27,731 = 27,731 : x
  2. Step 2: Convert to fraction form
    18,946/27,731 = 27,731/x
  3. Step 3: Cross multiply
    18,946x = 27,731 × 27,731
  4. Step 4: Simplify right side
    18,946x = 769,008,361
  5. Step 5: Solve for x
    x = 769,008,361/18,946
  6. Step 6: Final answer
    x = 40,589.48

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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.