Finding the Third Proportional to 816 and 1,038
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Solution
The third proportional to 816 and 1,038 is: 1,320.40
Step by Step Solution
- Step 1: Write the proportion equation
816 : 1,038 = 1,038 : x - Step 2: Convert to fraction form
816/1,038 = 1,038/x - Step 3: Cross multiply
816x = 1,038 × 1,038 - Step 4: Simplify right side
816x = 1,077,444 - Step 5: Solve for x
x = 1,077,444/816 - Step 6: Final answer
x = 1,320.40
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.