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Finding the Third Proportional to 1,976.06 and 3,075.19

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Solution

The third proportional to 1,976.06 and 3,075.19 is: 4,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.06 : 3,075.19 = 3,075.19 : x
  2. Step 2: Convert to fraction form
    1,976.06/3,075.19 = 3,075.19/x
  3. Step 3: Cross multiply
    1,976.06x = 3,075.19 × 3,075.19
  4. Step 4: Simplify right side
    1,976.06x = 9,456,778.16
  5. Step 5: Solve for x
    x = 9,456,778.16/1,976.06
  6. Step 6: Final answer
    x = 4,785.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.