Finding the Third Proportional to 830 and 1,666
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Solution
The third proportional to 830 and 1,666 is: 3,344.04
Step by Step Solution
- Step 1: Write the proportion equation
830 : 1,666 = 1,666 : x - Step 2: Convert to fraction form
830/1,666 = 1,666/x - Step 3: Cross multiply
830x = 1,666 × 1,666 - Step 4: Simplify right side
830x = 2,775,556 - Step 5: Solve for x
x = 2,775,556/830 - Step 6: Final answer
x = 3,344.04
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These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.