Finding the Third Proportional to 969 and 1,845
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Solution
The third proportional to 969 and 1,845 is: 3,512.93
Step by Step Solution
- Step 1: Write the proportion equation
969 : 1,845 = 1,845 : x - Step 2: Convert to fraction form
969/1,845 = 1,845/x - Step 3: Cross multiply
969x = 1,845 × 1,845 - Step 4: Simplify right side
969x = 3,404,025 - Step 5: Solve for x
x = 3,404,025/969 - Step 6: Final answer
x = 3,512.93
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.