Finding the Third Proportional to 971 and 2,104
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Solution
The third proportional to 971 and 2,104 is: 4,559.03
Step by Step Solution
- Step 1: Write the proportion equation
971 : 2,104 = 2,104 : x - Step 2: Convert to fraction form
971/2,104 = 2,104/x - Step 3: Cross multiply
971x = 2,104 × 2,104 - Step 4: Simplify right side
971x = 4,426,816 - Step 5: Solve for x
x = 4,426,816/971 - Step 6: Final answer
x = 4,559.03
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.