Finding the Third Proportional to 894 and 1,616
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Solution
The third proportional to 894 and 1,616 is: 2,921.09
Step by Step Solution
- Step 1: Write the proportion equation
894 : 1,616 = 1,616 : x - Step 2: Convert to fraction form
894/1,616 = 1,616/x - Step 3: Cross multiply
894x = 1,616 × 1,616 - Step 4: Simplify right side
894x = 2,611,456 - Step 5: Solve for x
x = 2,611,456/894 - Step 6: Final answer
x = 2,921.09
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Why These Related Problems?
These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.