Finding the Third Proportional to 905 and 1,969
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Solution
The third proportional to 905 and 1,969 is: 4,283.93
Step by Step Solution
- Step 1: Write the proportion equation
905 : 1,969 = 1,969 : x - Step 2: Convert to fraction form
905/1,969 = 1,969/x - Step 3: Cross multiply
905x = 1,969 × 1,969 - Step 4: Simplify right side
905x = 3,876,961 - Step 5: Solve for x
x = 3,876,961/905 - Step 6: Final answer
x = 4,283.93
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.