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Finding the Third Proportional to 1,383.96 and 2,075.94

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Solution

The third proportional to 1,383.96 and 2,075.94 is: 3,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.96 : 2,075.94 = 2,075.94 : x
  2. Step 2: Convert to fraction form
    1,383.96/2,075.94 = 2,075.94/x
  3. Step 3: Cross multiply
    1,383.96x = 2,075.94 × 2,075.94
  4. Step 4: Simplify right side
    1,383.96x = 4,309,532.72
  5. Step 5: Solve for x
    x = 4,309,532.72/1,383.96
  6. Step 6: Final answer
    x = 3,113.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.