Finding the Third Proportional to 1,074 and 2,004
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Solution
The third proportional to 1,074 and 2,004 is: 3,739.31
Step by Step Solution
- Step 1: Write the proportion equation
1,074 : 2,004 = 2,004 : x - Step 2: Convert to fraction form
1,074/2,004 = 2,004/x - Step 3: Cross multiply
1,074x = 2,004 × 2,004 - Step 4: Simplify right side
1,074x = 4,016,016 - Step 5: Solve for x
x = 4,016,016/1,074 - Step 6: Final answer
x = 3,739.31
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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.