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Finding the Third Proportional to 20,550 and 47,949

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Solution

The third proportional to 20,550 and 47,949 is: 111,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,550 : 47,949 = 47,949 : x
  2. Step 2: Convert to fraction form
    20,550/47,949 = 47,949/x
  3. Step 3: Cross multiply
    20,550x = 47,949 × 47,949
  4. Step 4: Simplify right side
    20,550x = 2,299,106,601
  5. Step 5: Solve for x
    x = 2,299,106,601/20,550
  6. Step 6: Final answer
    x = 111,878.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.