Finding the Third Proportional to 13,147.50 and 17,715
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Solution
The third proportional to 13,147.50 and 17,715 is: 23,869.27
Step by Step Solution
- Step 1: Write the proportion equation
13,147.50 : 17,715 = 17,715 : x - Step 2: Convert to fraction form
13,147.50/17,715 = 17,715/x - Step 3: Cross multiply
13,147.50x = 17,715 × 17,715 - Step 4: Simplify right side
13,147.50x = 313,821,225 - Step 5: Solve for x
x = 313,821,225/13,147.50 - Step 6: Final answer
x = 23,869.27
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.