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Finding the Third Proportional to 1,396.41 and 1,901.67

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Solution

The third proportional to 1,396.41 and 1,901.67 is: 2,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.41 : 1,901.67 = 1,901.67 : x
  2. Step 2: Convert to fraction form
    1,396.41/1,901.67 = 1,901.67/x
  3. Step 3: Cross multiply
    1,396.41x = 1,901.67 × 1,901.67
  4. Step 4: Simplify right side
    1,396.41x = 3,616,355.92
  5. Step 5: Solve for x
    x = 3,616,355.92/1,396.41
  6. Step 6: Final answer
    x = 2,589.76

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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.