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Finding the Third Proportional to 10,023.75 and 20,508.19

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Solution

The third proportional to 10,023.75 and 20,508.19 is: 41,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.75 : 20,508.19 = 20,508.19 : x
  2. Step 2: Convert to fraction form
    10,023.75/20,508.19 = 20,508.19/x
  3. Step 3: Cross multiply
    10,023.75x = 20,508.19 × 20,508.19
  4. Step 4: Simplify right side
    10,023.75x = 420,585,754.54
  5. Step 5: Solve for x
    x = 420,585,754.54/10,023.75
  6. Step 6: Final answer
    x = 41,958.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.