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Finding the Third Proportional to 20,674 and 31,954

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Solution

The third proportional to 20,674 and 31,954 is: 49,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674 : 31,954 = 31,954 : x
  2. Step 2: Convert to fraction form
    20,674/31,954 = 31,954/x
  3. Step 3: Cross multiply
    20,674x = 31,954 × 31,954
  4. Step 4: Simplify right side
    20,674x = 1,021,058,116
  5. Step 5: Solve for x
    x = 1,021,058,116/20,674
  6. Step 6: Final answer
    x = 49,388.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.