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Finding the Third Proportional to 37,270 and 57,203

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Solution

The third proportional to 37,270 and 57,203 is: 87,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,270 : 57,203 = 57,203 : x
  2. Step 2: Convert to fraction form
    37,270/57,203 = 57,203/x
  3. Step 3: Cross multiply
    37,270x = 57,203 × 57,203
  4. Step 4: Simplify right side
    37,270x = 3,272,183,209
  5. Step 5: Solve for x
    x = 3,272,183,209/37,270
  6. Step 6: Final answer
    x = 87,796.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.