Finding the Third Proportional to 1,183.13 and 1,830.09
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Solution
The third proportional to 1,183.13 and 1,830.09 is: 2,830.84
Step by Step Solution
- Step 1: Write the proportion equation
1,183.13 : 1,830.09 = 1,830.09 : x - Step 2: Convert to fraction form
1,183.13/1,830.09 = 1,830.09/x - Step 3: Cross multiply
1,183.13x = 1,830.09 × 1,830.09 - Step 4: Simplify right side
1,183.13x = 3,349,243.13 - Step 5: Solve for x
x = 3,349,243.13/1,183.13 - Step 6: Final answer
x = 2,830.84
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.