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Finding the Third Proportional to 20,602 and 30,821

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Solution

The third proportional to 20,602 and 30,821 is: 46,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602 : 30,821 = 30,821 : x
  2. Step 2: Convert to fraction form
    20,602/30,821 = 30,821/x
  3. Step 3: Cross multiply
    20,602x = 30,821 × 30,821
  4. Step 4: Simplify right side
    20,602x = 949,934,041
  5. Step 5: Solve for x
    x = 949,934,041/20,602
  6. Step 6: Final answer
    x = 46,108.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.