Finding the Third Proportional to 1,770.75 and 4,183.13
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Solution
The third proportional to 1,770.75 and 4,183.13 is: 9,881.99
Step by Step Solution
- Step 1: Write the proportion equation
1,770.75 : 4,183.13 = 4,183.13 : x - Step 2: Convert to fraction form
1,770.75/4,183.13 = 4,183.13/x - Step 3: Cross multiply
1,770.75x = 4,183.13 × 4,183.13 - Step 4: Simplify right side
1,770.75x = 17,498,534.77 - Step 5: Solve for x
x = 17,498,534.77/1,770.75 - Step 6: Final answer
x = 9,881.99
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.