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Finding the Third Proportional to 3,850.22 and 8,307.94

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Solution

The third proportional to 3,850.22 and 8,307.94 is: 17,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.22 : 8,307.94 = 8,307.94 : x
  2. Step 2: Convert to fraction form
    3,850.22/8,307.94 = 8,307.94/x
  3. Step 3: Cross multiply
    3,850.22x = 8,307.94 × 8,307.94
  4. Step 4: Simplify right side
    3,850.22x = 69,021,825.50
  5. Step 5: Solve for x
    x = 69,021,825.50/3,850.22
  6. Step 6: Final answer
    x = 17,926.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.