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Finding the Third Proportional to 37,844 and 60,976

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Solution

The third proportional to 37,844 and 60,976 is: 98,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844 : 60,976 = 60,976 : x
  2. Step 2: Convert to fraction form
    37,844/60,976 = 60,976/x
  3. Step 3: Cross multiply
    37,844x = 60,976 × 60,976
  4. Step 4: Simplify right side
    37,844x = 3,718,072,576
  5. Step 5: Solve for x
    x = 3,718,072,576/37,844
  6. Step 6: Final answer
    x = 98,247.35

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.