Finding the Third Proportional to 874 and 982
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Solution
The third proportional to 874 and 982 is: 1,103.35
Step by Step Solution
- Step 1: Write the proportion equation
874 : 982 = 982 : x - Step 2: Convert to fraction form
874/982 = 982/x - Step 3: Cross multiply
874x = 982 × 982 - Step 4: Simplify right side
874x = 964,324 - Step 5: Solve for x
x = 964,324/874 - Step 6: Final answer
x = 1,103.35
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.