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Finding the Third Proportional to 37,381 and 57,165

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Solution

The third proportional to 37,381 and 57,165 is: 87,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,381 : 57,165 = 57,165 : x
  2. Step 2: Convert to fraction form
    37,381/57,165 = 57,165/x
  3. Step 3: Cross multiply
    37,381x = 57,165 × 57,165
  4. Step 4: Simplify right side
    37,381x = 3,267,837,225
  5. Step 5: Solve for x
    x = 3,267,837,225/37,381
  6. Step 6: Final answer
    x = 87,419.74

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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.