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Finding the Third Proportional to 20,944.69 and 45,574.97

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Solution

The third proportional to 20,944.69 and 45,574.97 is: 99,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,944.69 : 45,574.97 = 45,574.97 : x
  2. Step 2: Convert to fraction form
    20,944.69/45,574.97 = 45,574.97/x
  3. Step 3: Cross multiply
    20,944.69x = 45,574.97 × 45,574.97
  4. Step 4: Simplify right side
    20,944.69x = 2,077,077,776.56
  5. Step 5: Solve for x
    x = 2,077,077,776.56/20,944.69
  6. Step 6: Final answer
    x = 99,169.67

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