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Finding the Third Proportional to 37,910 and 57,351

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Solution

The third proportional to 37,910 and 57,351 is: 86,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,910 : 57,351 = 57,351 : x
  2. Step 2: Convert to fraction form
    37,910/57,351 = 57,351/x
  3. Step 3: Cross multiply
    37,910x = 57,351 × 57,351
  4. Step 4: Simplify right side
    37,910x = 3,289,137,201
  5. Step 5: Solve for x
    x = 3,289,137,201/37,910
  6. Step 6: Final answer
    x = 86,761.73

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Why These Related Problems?

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