Finding the Third Proportional to 874 and 1,166
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Solution
The third proportional to 874 and 1,166 is: 1,555.56
Step by Step Solution
- Step 1: Write the proportion equation
874 : 1,166 = 1,166 : x - Step 2: Convert to fraction form
874/1,166 = 1,166/x - Step 3: Cross multiply
874x = 1,166 × 1,166 - Step 4: Simplify right side
874x = 1,359,556 - Step 5: Solve for x
x = 1,359,556/874 - Step 6: Final answer
x = 1,555.56
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.