Finding the Third Proportional to 5,194.13 and 7,790.63
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Solution
The third proportional to 5,194.13 and 7,790.63 is: 11,685.09
Step by Step Solution
- Step 1: Write the proportion equation
5,194.13 : 7,790.63 = 7,790.63 : x - Step 2: Convert to fraction form
5,194.13/7,790.63 = 7,790.63/x - Step 3: Cross multiply
5,194.13x = 7,790.63 × 7,790.63 - Step 4: Simplify right side
5,194.13x = 60,693,837.89 - Step 5: Solve for x
x = 60,693,837.89/5,194.13 - Step 6: Final answer
x = 11,685.09
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.