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Finding the Third Proportional to 37,851 and 81,966

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Solution

The third proportional to 37,851 and 81,966 is: 177,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851 : 81,966 = 81,966 : x
  2. Step 2: Convert to fraction form
    37,851/81,966 = 81,966/x
  3. Step 3: Cross multiply
    37,851x = 81,966 × 81,966
  4. Step 4: Simplify right side
    37,851x = 6,718,425,156
  5. Step 5: Solve for x
    x = 6,718,425,156/37,851
  6. Step 6: Final answer
    x = 177,496.64

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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.