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Finding the Third Proportional to 38,600.44 and 81,351.56

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Solution

The third proportional to 38,600.44 and 81,351.56 is: 171,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,600.44 : 81,351.56 = 81,351.56 : x
  2. Step 2: Convert to fraction form
    38,600.44/81,351.56 = 81,351.56/x
  3. Step 3: Cross multiply
    38,600.44x = 81,351.56 × 81,351.56
  4. Step 4: Simplify right side
    38,600.44x = 6,618,076,721.19
  5. Step 5: Solve for x
    x = 6,618,076,721.19/38,600.44
  6. Step 6: Final answer
    x = 171,450.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.