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Finding the Third Proportional to 37,682 and 60,231

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Solution

The third proportional to 37,682 and 60,231 is: 96,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682 : 60,231 = 60,231 : x
  2. Step 2: Convert to fraction form
    37,682/60,231 = 60,231/x
  3. Step 3: Cross multiply
    37,682x = 60,231 × 60,231
  4. Step 4: Simplify right side
    37,682x = 3,627,773,361
  5. Step 5: Solve for x
    x = 3,627,773,361/37,682
  6. Step 6: Final answer
    x = 96,273.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.