Finding the Third Proportional to 876 and 1,906
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Solution
The third proportional to 876 and 1,906 is: 4,147.07
Step by Step Solution
- Step 1: Write the proportion equation
876 : 1,906 = 1,906 : x - Step 2: Convert to fraction form
876/1,906 = 1,906/x - Step 3: Cross multiply
876x = 1,906 × 1,906 - Step 4: Simplify right side
876x = 3,632,836 - Step 5: Solve for x
x = 3,632,836/876 - Step 6: Final answer
x = 4,147.07
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.