Finding the Third Proportional to 1,083 and 1,995
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Solution
The third proportional to 1,083 and 1,995 is: 3,675
Step by Step Solution
- Step 1: Write the proportion equation
1,083 : 1,995 = 1,995 : x - Step 2: Convert to fraction form
1,083/1,995 = 1,995/x - Step 3: Cross multiply
1,083x = 1,995 × 1,995 - Step 4: Simplify right side
1,083x = 3,980,025 - Step 5: Solve for x
x = 3,980,025/1,083 - Step 6: Final answer
x = 3,675
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Why These Related Problems?
These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.