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Finding the Third Proportional to 2,075.06 and 3,120.44

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Solution

The third proportional to 2,075.06 and 3,120.44 is: 4,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.06 : 3,120.44 = 3,120.44 : x
  2. Step 2: Convert to fraction form
    2,075.06/3,120.44 = 3,120.44/x
  3. Step 3: Cross multiply
    2,075.06x = 3,120.44 × 3,120.44
  4. Step 4: Simplify right side
    2,075.06x = 9,737,130.19
  5. Step 5: Solve for x
    x = 9,737,130.19/2,075.06
  6. Step 6: Final answer
    x = 4,692.45

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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.