Finding the Third Proportional to 7,836.75 and 11,769.75
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Solution
The third proportional to 7,836.75 and 11,769.75 is: 17,676.59
Step by Step Solution
- Step 1: Write the proportion equation
7,836.75 : 11,769.75 = 11,769.75 : x - Step 2: Convert to fraction form
7,836.75/11,769.75 = 11,769.75/x - Step 3: Cross multiply
7,836.75x = 11,769.75 × 11,769.75 - Step 4: Simplify right side
7,836.75x = 138,527,015.06 - Step 5: Solve for x
x = 138,527,015.06/7,836.75 - Step 6: Final answer
x = 17,676.59
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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.