Finding the Third Proportional to 15,222.50 and 32,713
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Solution
The third proportional to 15,222.50 and 32,713 is: 70,299.91
Step by Step Solution
- Step 1: Write the proportion equation
15,222.50 : 32,713 = 32,713 : x - Step 2: Convert to fraction form
15,222.50/32,713 = 32,713/x - Step 3: Cross multiply
15,222.50x = 32,713 × 32,713 - Step 4: Simplify right side
15,222.50x = 1,070,140,369 - Step 5: Solve for x
x = 1,070,140,369/15,222.50 - Step 6: Final answer
x = 70,299.91
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.