Finding the Third Proportional to 833 and 1,810
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Solution
The third proportional to 833 and 1,810 is: 3,932.89
Step by Step Solution
- Step 1: Write the proportion equation
833 : 1,810 = 1,810 : x - Step 2: Convert to fraction form
833/1,810 = 1,810/x - Step 3: Cross multiply
833x = 1,810 × 1,810 - Step 4: Simplify right side
833x = 3,276,100 - Step 5: Solve for x
x = 3,276,100/833 - Step 6: Final answer
x = 3,932.89
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.