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Finding the Third Proportional to 3,907.50 and 5,757

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Solution

The third proportional to 3,907.50 and 5,757 is: 8,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.50 : 5,757 = 5,757 : x
  2. Step 2: Convert to fraction form
    3,907.50/5,757 = 5,757/x
  3. Step 3: Cross multiply
    3,907.50x = 5,757 × 5,757
  4. Step 4: Simplify right side
    3,907.50x = 33,143,049
  5. Step 5: Solve for x
    x = 33,143,049/3,907.50
  6. Step 6: Final answer
    x = 8,481.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.