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Finding the Third Proportional to 20,954 and 47,384

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Solution

The third proportional to 20,954 and 47,384 is: 107,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954 : 47,384 = 47,384 : x
  2. Step 2: Convert to fraction form
    20,954/47,384 = 47,384/x
  3. Step 3: Cross multiply
    20,954x = 47,384 × 47,384
  4. Step 4: Simplify right side
    20,954x = 2,245,243,456
  5. Step 5: Solve for x
    x = 2,245,243,456/20,954
  6. Step 6: Final answer
    x = 107,151.07

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.