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Finding the Third Proportional to 37,724 and 81,938

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Solution

The third proportional to 37,724 and 81,938 is: 177,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,724 : 81,938 = 81,938 : x
  2. Step 2: Convert to fraction form
    37,724/81,938 = 81,938/x
  3. Step 3: Cross multiply
    37,724x = 81,938 × 81,938
  4. Step 4: Simplify right side
    37,724x = 6,713,835,844
  5. Step 5: Solve for x
    x = 6,713,835,844/37,724
  6. Step 6: Final answer
    x = 177,972.53

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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.