Finding the Third Proportional to 98.72 and 205.03
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Solution
The third proportional to 98.72 and 205.03 is: 425.83
Step by Step Solution
- Step 1: Write the proportion equation
98.72 : 205.03 = 205.03 : x - Step 2: Convert to fraction form
98.72/205.03 = 205.03/x - Step 3: Cross multiply
98.72x = 205.03 × 205.03 - Step 4: Simplify right side
98.72x = 42,037.81 - Step 5: Solve for x
x = 42,037.81/98.72 - Step 6: Final answer
x = 425.83
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.