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Finding the Third Proportional to 7,795.22 and 17,099.46

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Solution

The third proportional to 7,795.22 and 17,099.46 is: 37,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.22 : 17,099.46 = 17,099.46 : x
  2. Step 2: Convert to fraction form
    7,795.22/17,099.46 = 17,099.46/x
  3. Step 3: Cross multiply
    7,795.22x = 17,099.46 × 17,099.46
  4. Step 4: Simplify right side
    7,795.22x = 292,391,664.55
  5. Step 5: Solve for x
    x = 292,391,664.55/7,795.22
  6. Step 6: Final answer
    x = 37,509.09

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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.