Finding the Third Proportional to 867 and 1,851
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Solution
The third proportional to 867 and 1,851 is: 3,951.79
Step by Step Solution
- Step 1: Write the proportion equation
867 : 1,851 = 1,851 : x - Step 2: Convert to fraction form
867/1,851 = 1,851/x - Step 3: Cross multiply
867x = 1,851 × 1,851 - Step 4: Simplify right side
867x = 3,426,201 - Step 5: Solve for x
x = 3,426,201/867 - Step 6: Final answer
x = 3,951.79
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.