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Finding the Third Proportional to 37,958 and 57,059

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Solution

The third proportional to 37,958 and 57,059 is: 85,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958 : 57,059 = 57,059 : x
  2. Step 2: Convert to fraction form
    37,958/57,059 = 57,059/x
  3. Step 3: Cross multiply
    37,958x = 57,059 × 57,059
  4. Step 4: Simplify right side
    37,958x = 3,255,729,481
  5. Step 5: Solve for x
    x = 3,255,729,481/37,958
  6. Step 6: Final answer
    x = 85,771.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.