Finding the Third Proportional to 67.50 and 98.25
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Solution
The third proportional to 67.50 and 98.25 is: 143.01
Step by Step Solution
- Step 1: Write the proportion equation
67.50 : 98.25 = 98.25 : x - Step 2: Convert to fraction form
67.50/98.25 = 98.25/x - Step 3: Cross multiply
67.50x = 98.25 × 98.25 - Step 4: Simplify right side
67.50x = 9,653.06 - Step 5: Solve for x
x = 9,653.06/67.50 - Step 6: Final answer
x = 143.01
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.