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Finding the Third Proportional to 49,832 and 74,932

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Solution

The third proportional to 49,832 and 74,932 is: 112,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,832 : 74,932 = 74,932 : x
  2. Step 2: Convert to fraction form
    49,832/74,932 = 74,932/x
  3. Step 3: Cross multiply
    49,832x = 74,932 × 74,932
  4. Step 4: Simplify right side
    49,832x = 5,614,804,624
  5. Step 5: Solve for x
    x = 5,614,804,624/49,832
  6. Step 6: Final answer
    x = 112,674.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.