Finding the Third Proportional to 7,846.88 and 11,795.63
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Solution
The third proportional to 7,846.88 and 11,795.63 is: 17,731.49
Step by Step Solution
- Step 1: Write the proportion equation
7,846.88 : 11,795.63 = 11,795.63 : x - Step 2: Convert to fraction form
7,846.88/11,795.63 = 11,795.63/x - Step 3: Cross multiply
7,846.88x = 11,795.63 × 11,795.63 - Step 4: Simplify right side
7,846.88x = 139,136,769.14 - Step 5: Solve for x
x = 139,136,769.14/7,846.88 - Step 6: Final answer
x = 17,731.49
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.