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Finding the Third Proportional to 20,494 and 43,148

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Solution

The third proportional to 20,494 and 43,148 is: 90,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494 : 43,148 = 43,148 : x
  2. Step 2: Convert to fraction form
    20,494/43,148 = 43,148/x
  3. Step 3: Cross multiply
    20,494x = 43,148 × 43,148
  4. Step 4: Simplify right side
    20,494x = 1,861,749,904
  5. Step 5: Solve for x
    x = 1,861,749,904/20,494
  6. Step 6: Final answer
    x = 90,843.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.