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Finding the Third Proportional to 37,378 and 57,935

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Solution

The third proportional to 37,378 and 57,935 is: 89,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,378 : 57,935 = 57,935 : x
  2. Step 2: Convert to fraction form
    37,378/57,935 = 57,935/x
  3. Step 3: Cross multiply
    37,378x = 57,935 × 57,935
  4. Step 4: Simplify right side
    37,378x = 3,356,464,225
  5. Step 5: Solve for x
    x = 3,356,464,225/37,378
  6. Step 6: Final answer
    x = 89,797.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.