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Finding the Third Proportional to 37,806.75 and 55,847.81

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Solution

The third proportional to 37,806.75 and 55,847.81 is: 82,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,806.75 : 55,847.81 = 55,847.81 : x
  2. Step 2: Convert to fraction form
    37,806.75/55,847.81 = 55,847.81/x
  3. Step 3: Cross multiply
    37,806.75x = 55,847.81 × 55,847.81
  4. Step 4: Simplify right side
    37,806.75x = 3,118,978,161.04
  5. Step 5: Solve for x
    x = 3,118,978,161.04/37,806.75
  6. Step 6: Final answer
    x = 82,497.92

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.