Finding the Third Proportional to 894 and 1,041
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Solution
The third proportional to 894 and 1,041 is: 1,212.17
Step by Step Solution
- Step 1: Write the proportion equation
894 : 1,041 = 1,041 : x - Step 2: Convert to fraction form
894/1,041 = 1,041/x - Step 3: Cross multiply
894x = 1,041 × 1,041 - Step 4: Simplify right side
894x = 1,083,681 - Step 5: Solve for x
x = 1,083,681/894 - Step 6: Final answer
x = 1,212.17
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.