Finding the Third Proportional to 51.25 and 112.50
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Solution
The third proportional to 51.25 and 112.50 is: 246.95
Step by Step Solution
- Step 1: Write the proportion equation
51.25 : 112.50 = 112.50 : x - Step 2: Convert to fraction form
51.25/112.50 = 112.50/x - Step 3: Cross multiply
51.25x = 112.50 × 112.50 - Step 4: Simplify right side
51.25x = 12,656.25 - Step 5: Solve for x
x = 12,656.25/51.25 - Step 6: Final answer
x = 246.95
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.