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Finding the Third Proportional to 20,794 and 45,142

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Solution

The third proportional to 20,794 and 45,142 is: 97,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794 : 45,142 = 45,142 : x
  2. Step 2: Convert to fraction form
    20,794/45,142 = 45,142/x
  3. Step 3: Cross multiply
    20,794x = 45,142 × 45,142
  4. Step 4: Simplify right side
    20,794x = 2,037,800,164
  5. Step 5: Solve for x
    x = 2,037,800,164/20,794
  6. Step 6: Final answer
    x = 97,999.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.