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Finding the Third Proportional to 8,099.75 and 17,429.75

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Solution

The third proportional to 8,099.75 and 17,429.75 is: 37,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.75 : 17,429.75 = 17,429.75 : x
  2. Step 2: Convert to fraction form
    8,099.75/17,429.75 = 17,429.75/x
  3. Step 3: Cross multiply
    8,099.75x = 17,429.75 × 17,429.75
  4. Step 4: Simplify right side
    8,099.75x = 303,796,185.06
  5. Step 5: Solve for x
    x = 303,796,185.06/8,099.75
  6. Step 6: Final answer
    x = 37,506.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.