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Finding the Third Proportional to 37,806.75 and 57,013.69

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Solution

The third proportional to 37,806.75 and 57,013.69 is: 85,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,806.75 : 57,013.69 = 57,013.69 : x
  2. Step 2: Convert to fraction form
    37,806.75/57,013.69 = 57,013.69/x
  3. Step 3: Cross multiply
    37,806.75x = 57,013.69 × 57,013.69
  4. Step 4: Simplify right side
    37,806.75x = 3,250,560,562.35
  5. Step 5: Solve for x
    x = 3,250,560,562.35/37,806.75
  6. Step 6: Final answer
    x = 85,978.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.