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Finding the Third Proportional to 3,448.69 and 5,173.31

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Solution

The third proportional to 3,448.69 and 5,173.31 is: 7,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.69 : 5,173.31 = 5,173.31 : x
  2. Step 2: Convert to fraction form
    3,448.69/5,173.31 = 5,173.31/x
  3. Step 3: Cross multiply
    3,448.69x = 5,173.31 × 5,173.31
  4. Step 4: Simplify right side
    3,448.69x = 26,763,162.22
  5. Step 5: Solve for x
    x = 26,763,162.22/3,448.69
  6. Step 6: Final answer
    x = 7,760.39

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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.