Finding the Third Proportional to 897 and 2,174
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Solution
The third proportional to 897 and 2,174 is: 5,268.98
Step by Step Solution
- Step 1: Write the proportion equation
897 : 2,174 = 2,174 : x - Step 2: Convert to fraction form
897/2,174 = 2,174/x - Step 3: Cross multiply
897x = 2,174 × 2,174 - Step 4: Simplify right side
897x = 4,726,276 - Step 5: Solve for x
x = 4,726,276/897 - Step 6: Final answer
x = 5,268.98
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.