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Finding the Third Proportional to 5,723.31 and 12,372.83

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Solution

The third proportional to 5,723.31 and 12,372.83 is: 26,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.31 : 12,372.83 = 12,372.83 : x
  2. Step 2: Convert to fraction form
    5,723.31/12,372.83 = 12,372.83/x
  3. Step 3: Cross multiply
    5,723.31x = 12,372.83 × 12,372.83
  4. Step 4: Simplify right side
    5,723.31x = 153,086,899.98
  5. Step 5: Solve for x
    x = 153,086,899.98/5,723.31
  6. Step 6: Final answer
    x = 26,747.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.