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Finding the Third Proportional to 37,976.25 and 61,014.75

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Solution

The third proportional to 37,976.25 and 61,014.75 is: 98,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,976.25 : 61,014.75 = 61,014.75 : x
  2. Step 2: Convert to fraction form
    37,976.25/61,014.75 = 61,014.75/x
  3. Step 3: Cross multiply
    37,976.25x = 61,014.75 × 61,014.75
  4. Step 4: Simplify right side
    37,976.25x = 3,722,799,717.56
  5. Step 5: Solve for x
    x = 3,722,799,717.56/37,976.25
  6. Step 6: Final answer
    x = 98,029.68

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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.