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Finding the Third Proportional to 20,706 and 45,171

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Solution

The third proportional to 20,706 and 45,171 is: 98,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706 : 45,171 = 45,171 : x
  2. Step 2: Convert to fraction form
    20,706/45,171 = 45,171/x
  3. Step 3: Cross multiply
    20,706x = 45,171 × 45,171
  4. Step 4: Simplify right side
    20,706x = 2,040,419,241
  5. Step 5: Solve for x
    x = 2,040,419,241/20,706
  6. Step 6: Final answer
    x = 98,542.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.