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Finding the Third Proportional to 5,231.81 and 7,317.56

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Solution

The third proportional to 5,231.81 and 7,317.56 is: 10,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.81 : 7,317.56 = 7,317.56 : x
  2. Step 2: Convert to fraction form
    5,231.81/7,317.56 = 7,317.56/x
  3. Step 3: Cross multiply
    5,231.81x = 7,317.56 × 7,317.56
  4. Step 4: Simplify right side
    5,231.81x = 53,546,720.94
  5. Step 5: Solve for x
    x = 53,546,720.94/5,231.81
  6. Step 6: Final answer
    x = 10,234.83

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Why These Related Problems?

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