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Finding the Third Proportional to 38,362 and 50,991

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Solution

The third proportional to 38,362 and 50,991 is: 67,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362 : 50,991 = 50,991 : x
  2. Step 2: Convert to fraction form
    38,362/50,991 = 50,991/x
  3. Step 3: Cross multiply
    38,362x = 50,991 × 50,991
  4. Step 4: Simplify right side
    38,362x = 2,600,082,081
  5. Step 5: Solve for x
    x = 2,600,082,081/38,362
  6. Step 6: Final answer
    x = 67,777.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.