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Finding the Third Proportional to 20,738.25 and 31,107.38

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Solution

The third proportional to 20,738.25 and 31,107.38 is: 46,661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,738.25 : 31,107.38 = 31,107.38 : x
  2. Step 2: Convert to fraction form
    20,738.25/31,107.38 = 31,107.38/x
  3. Step 3: Cross multiply
    20,738.25x = 31,107.38 × 31,107.38
  4. Step 4: Simplify right side
    20,738.25x = 967,668,779.39
  5. Step 5: Solve for x
    x = 967,668,779.39/20,738.25
  6. Step 6: Final answer
    x = 46,661.06

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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.