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Finding the Third Proportional to 37,698 and 81,954

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Solution

The third proportional to 37,698 and 81,954 is: 178,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,698 : 81,954 = 81,954 : x
  2. Step 2: Convert to fraction form
    37,698/81,954 = 81,954/x
  3. Step 3: Cross multiply
    37,698x = 81,954 × 81,954
  4. Step 4: Simplify right side
    37,698x = 6,716,458,116
  5. Step 5: Solve for x
    x = 6,716,458,116/37,698
  6. Step 6: Final answer
    x = 178,164.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.