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Finding the Third Proportional to 2,238.26 and 3,131.00

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Solution

The third proportional to 2,238.26 and 3,131.00 is: 4,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.26 : 3,131.00 = 3,131.00 : x
  2. Step 2: Convert to fraction form
    2,238.26/3,131.00 = 3,131.00/x
  3. Step 3: Cross multiply
    2,238.26x = 3,131.00 × 3,131.00
  4. Step 4: Simplify right side
    2,238.26x = 9,803,148.77
  5. Step 5: Solve for x
    x = 9,803,148.77/2,238.26
  6. Step 6: Final answer
    x = 4,379.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.