Finding the Third Proportional to 992 and 1,055
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Solution
The third proportional to 992 and 1,055 is: 1,122.00
Step by Step Solution
- Step 1: Write the proportion equation
992 : 1,055 = 1,055 : x - Step 2: Convert to fraction form
992/1,055 = 1,055/x - Step 3: Cross multiply
992x = 1,055 × 1,055 - Step 4: Simplify right side
992x = 1,113,025 - Step 5: Solve for x
x = 1,113,025/992 - Step 6: Final answer
x = 1,122.00
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Why These Related Problems?
These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.