Finding the Third Proportional to 1,177.13 and 1,806.19
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Solution
The third proportional to 1,177.13 and 1,806.19 is: 2,771.42
Step by Step Solution
- Step 1: Write the proportion equation
1,177.13 : 1,806.19 = 1,806.19 : x - Step 2: Convert to fraction form
1,177.13/1,806.19 = 1,806.19/x - Step 3: Cross multiply
1,177.13x = 1,806.19 × 1,806.19 - Step 4: Simplify right side
1,177.13x = 3,262,313.29 - Step 5: Solve for x
x = 3,262,313.29/1,177.13 - Step 6: Final answer
x = 2,771.42
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.