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Finding the Third Proportional to 2,896.07 and 3,934.04

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Solution

The third proportional to 2,896.07 and 3,934.04 is: 5,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.07 : 3,934.04 = 3,934.04 : x
  2. Step 2: Convert to fraction form
    2,896.07/3,934.04 = 3,934.04/x
  3. Step 3: Cross multiply
    2,896.07x = 3,934.04 × 3,934.04
  4. Step 4: Simplify right side
    2,896.07x = 15,476,647.98
  5. Step 5: Solve for x
    x = 15,476,647.98/2,896.07
  6. Step 6: Final answer
    x = 5,344.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.