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Finding the Third Proportional to 7,795.25 and 17,099.56

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Solution

The third proportional to 7,795.25 and 17,099.56 is: 37,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.25 : 17,099.56 = 17,099.56 : x
  2. Step 2: Convert to fraction form
    7,795.25/17,099.56 = 17,099.56/x
  3. Step 3: Cross multiply
    7,795.25x = 17,099.56 × 17,099.56
  4. Step 4: Simplify right side
    7,795.25x = 292,395,037.69
  5. Step 5: Solve for x
    x = 292,395,037.69/7,795.25
  6. Step 6: Final answer
    x = 37,509.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.