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Finding the Third Proportional to 18,434 and 37,961

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Solution

The third proportional to 18,434 and 37,961 is: 78,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434 : 37,961 = 37,961 : x
  2. Step 2: Convert to fraction form
    18,434/37,961 = 37,961/x
  3. Step 3: Cross multiply
    18,434x = 37,961 × 37,961
  4. Step 4: Simplify right side
    18,434x = 1,441,037,521
  5. Step 5: Solve for x
    x = 1,441,037,521/18,434
  6. Step 6: Final answer
    x = 78,172.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.