Finding the Third Proportional to 7,849.75 and 11,774.75
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Solution
The third proportional to 7,849.75 and 11,774.75 is: 17,662.31
Step by Step Solution
- Step 1: Write the proportion equation
7,849.75 : 11,774.75 = 11,774.75 : x - Step 2: Convert to fraction form
7,849.75/11,774.75 = 11,774.75/x - Step 3: Cross multiply
7,849.75x = 11,774.75 × 11,774.75 - Step 4: Simplify right side
7,849.75x = 138,644,737.56 - Step 5: Solve for x
x = 138,644,737.56/7,849.75 - Step 6: Final answer
x = 17,662.31
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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.