Finding the Third Proportional to 7,292.50 and 11,314
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Solution
The third proportional to 7,292.50 and 11,314 is: 17,553.18
Step by Step Solution
- Step 1: Write the proportion equation
7,292.50 : 11,314 = 11,314 : x - Step 2: Convert to fraction form
7,292.50/11,314 = 11,314/x - Step 3: Cross multiply
7,292.50x = 11,314 × 11,314 - Step 4: Simplify right side
7,292.50x = 128,006,596 - Step 5: Solve for x
x = 128,006,596/7,292.50 - Step 6: Final answer
x = 17,553.18
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.