Finding the Third Proportional to 7,122.94 and 10,823.63
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Solution
The third proportional to 7,122.94 and 10,823.63 is: 16,446.99
Step by Step Solution
- Step 1: Write the proportion equation
7,122.94 : 10,823.63 = 10,823.63 : x - Step 2: Convert to fraction form
7,122.94/10,823.63 = 10,823.63/x - Step 3: Cross multiply
7,122.94x = 10,823.63 × 10,823.63 - Step 4: Simplify right side
7,122.94x = 117,150,858.14 - Step 5: Solve for x
x = 117,150,858.14/7,122.94 - Step 6: Final answer
x = 16,446.99
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.