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Finding the Third Proportional to 20,604.25 and 31,002.38

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Solution

The third proportional to 20,604.25 and 31,002.38 is: 46,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,604.25 : 31,002.38 = 31,002.38 : x
  2. Step 2: Convert to fraction form
    20,604.25/31,002.38 = 31,002.38/x
  3. Step 3: Cross multiply
    20,604.25x = 31,002.38 × 31,002.38
  4. Step 4: Simplify right side
    20,604.25x = 961,147,255.64
  5. Step 5: Solve for x
    x = 961,147,255.64/20,604.25
  6. Step 6: Final answer
    x = 46,648.01

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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.