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Finding the Third Proportional to 3,796.88 and 8,868.38

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Solution

The third proportional to 3,796.88 and 8,868.38 is: 20,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.88 : 8,868.38 = 8,868.38 : x
  2. Step 2: Convert to fraction form
    3,796.88/8,868.38 = 8,868.38/x
  3. Step 3: Cross multiply
    3,796.88x = 8,868.38 × 8,868.38
  4. Step 4: Simplify right side
    3,796.88x = 78,648,075.14
  5. Step 5: Solve for x
    x = 78,648,075.14/3,796.88
  6. Step 6: Final answer
    x = 20,713.90

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.