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Finding the Third Proportional to 8,314.31 and 12,344.06

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Solution

The third proportional to 8,314.31 and 12,344.06 is: 18,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.31 : 12,344.06 = 12,344.06 : x
  2. Step 2: Convert to fraction form
    8,314.31/12,344.06 = 12,344.06/x
  3. Step 3: Cross multiply
    8,314.31x = 12,344.06 × 12,344.06
  4. Step 4: Simplify right side
    8,314.31x = 152,375,879.00
  5. Step 5: Solve for x
    x = 152,375,879.00/8,314.31
  6. Step 6: Final answer
    x = 18,326.94

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.