Finding the Third Proportional to 82.50 and 98.50
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Solution
The third proportional to 82.50 and 98.50 is: 117.60
Step by Step Solution
- Step 1: Write the proportion equation
82.50 : 98.50 = 98.50 : x - Step 2: Convert to fraction form
82.50/98.50 = 98.50/x - Step 3: Cross multiply
82.50x = 98.50 × 98.50 - Step 4: Simplify right side
82.50x = 9,702.25 - Step 5: Solve for x
x = 9,702.25/82.50 - Step 6: Final answer
x = 117.60
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Why These Related Problems?
These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.