Finding the Third Proportional to 838 and 1,900
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Solution
The third proportional to 838 and 1,900 is: 4,307.88
Step by Step Solution
- Step 1: Write the proportion equation
838 : 1,900 = 1,900 : x - Step 2: Convert to fraction form
838/1,900 = 1,900/x - Step 3: Cross multiply
838x = 1,900 × 1,900 - Step 4: Simplify right side
838x = 3,610,000 - Step 5: Solve for x
x = 3,610,000/838 - Step 6: Final answer
x = 4,307.88
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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.