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Finding the Third Proportional to 36,848 and 50,034

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Solution

The third proportional to 36,848 and 50,034 is: 67,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,848 : 50,034 = 50,034 : x
  2. Step 2: Convert to fraction form
    36,848/50,034 = 50,034/x
  3. Step 3: Cross multiply
    36,848x = 50,034 × 50,034
  4. Step 4: Simplify right side
    36,848x = 2,503,401,156
  5. Step 5: Solve for x
    x = 2,503,401,156/36,848
  6. Step 6: Final answer
    x = 67,938.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.