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Finding the Third Proportional to 37,951 and 57,049

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Solution

The third proportional to 37,951 and 57,049 is: 85,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,951 : 57,049 = 57,049 : x
  2. Step 2: Convert to fraction form
    37,951/57,049 = 57,049/x
  3. Step 3: Cross multiply
    37,951x = 57,049 × 57,049
  4. Step 4: Simplify right side
    37,951x = 3,254,588,401
  5. Step 5: Solve for x
    x = 3,254,588,401/37,951
  6. Step 6: Final answer
    x = 85,757.65

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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.