Finding the Third Proportional to 816 and 1,247
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Solution
The third proportional to 816 and 1,247 is: 1,905.65
Step by Step Solution
- Step 1: Write the proportion equation
816 : 1,247 = 1,247 : x - Step 2: Convert to fraction form
816/1,247 = 1,247/x - Step 3: Cross multiply
816x = 1,247 × 1,247 - Step 4: Simplify right side
816x = 1,555,009 - Step 5: Solve for x
x = 1,555,009/816 - Step 6: Final answer
x = 1,905.65
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.