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Finding the Third Proportional to 49,682 and 73,848

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Solution

The third proportional to 49,682 and 73,848 is: 109,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,682 : 73,848 = 73,848 : x
  2. Step 2: Convert to fraction form
    49,682/73,848 = 73,848/x
  3. Step 3: Cross multiply
    49,682x = 73,848 × 73,848
  4. Step 4: Simplify right side
    49,682x = 5,453,527,104
  5. Step 5: Solve for x
    x = 5,453,527,104/49,682
  6. Step 6: Final answer
    x = 109,768.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.