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Finding the Third Proportional to 37,598 and 81,676

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Solution

The third proportional to 37,598 and 81,676 is: 177,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,598 : 81,676 = 81,676 : x
  2. Step 2: Convert to fraction form
    37,598/81,676 = 81,676/x
  3. Step 3: Cross multiply
    37,598x = 81,676 × 81,676
  4. Step 4: Simplify right side
    37,598x = 6,670,968,976
  5. Step 5: Solve for x
    x = 6,670,968,976/37,598
  6. Step 6: Final answer
    x = 177,428.83

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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.