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Finding the Third Proportional to 20,380.50 and 42,971.63

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Solution

The third proportional to 20,380.50 and 42,971.63 is: 90,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.50 : 42,971.63 = 42,971.63 : x
  2. Step 2: Convert to fraction form
    20,380.50/42,971.63 = 42,971.63/x
  3. Step 3: Cross multiply
    20,380.50x = 42,971.63 × 42,971.63
  4. Step 4: Simplify right side
    20,380.50x = 1,846,560,555.14
  5. Step 5: Solve for x
    x = 1,846,560,555.14/20,380.50
  6. Step 6: Final answer
    x = 90,604.28

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