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Finding the Third Proportional to 38,043 and 81,361.97

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Solution

The third proportional to 38,043 and 81,361.97 is: 174,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,043 : 81,361.97 = 81,361.97 : x
  2. Step 2: Convert to fraction form
    38,043/81,361.97 = 81,361.97/x
  3. Step 3: Cross multiply
    38,043x = 81,361.97 × 81,361.97
  4. Step 4: Simplify right side
    38,043x = 6,619,769,958.88
  5. Step 5: Solve for x
    x = 6,619,769,958.88/38,043
  6. Step 6: Final answer
    x = 174,007.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.