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Finding the Third Proportional to 20,379.50 and 30,775

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Solution

The third proportional to 20,379.50 and 30,775 is: 46,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,379.50 : 30,775 = 30,775 : x
  2. Step 2: Convert to fraction form
    20,379.50/30,775 = 30,775/x
  3. Step 3: Cross multiply
    20,379.50x = 30,775 × 30,775
  4. Step 4: Simplify right side
    20,379.50x = 947,100,625
  5. Step 5: Solve for x
    x = 947,100,625/20,379.50
  6. Step 6: Final answer
    x = 46,473.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.