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Finding the Third Proportional to 1,883.81 and 2,757.94

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Solution

The third proportional to 1,883.81 and 2,757.94 is: 4,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.81 : 2,757.94 = 2,757.94 : x
  2. Step 2: Convert to fraction form
    1,883.81/2,757.94 = 2,757.94/x
  3. Step 3: Cross multiply
    1,883.81x = 2,757.94 × 2,757.94
  4. Step 4: Simplify right side
    1,883.81x = 7,606,219.25
  5. Step 5: Solve for x
    x = 7,606,219.25/1,883.81
  6. Step 6: Final answer
    x = 4,037.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.