Finding the Third Proportional to 76 and 84
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Solution
The third proportional to 76 and 84 is: 92.84
Step by Step Solution
- Step 1: Write the proportion equation
76 : 84 = 84 : x - Step 2: Convert to fraction form
76/84 = 84/x - Step 3: Cross multiply
76x = 84 × 84 - Step 4: Simplify right side
76x = 7,056 - Step 5: Solve for x
x = 7,056/76 - Step 6: Final answer
x = 92.84
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.