Finding the Third Proportional to 11,596.50 and 20,889
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Solution
The third proportional to 11,596.50 and 20,889 is: 37,627.76
Step by Step Solution
- Step 1: Write the proportion equation
11,596.50 : 20,889 = 20,889 : x - Step 2: Convert to fraction form
11,596.50/20,889 = 20,889/x - Step 3: Cross multiply
11,596.50x = 20,889 × 20,889 - Step 4: Simplify right side
11,596.50x = 436,350,321 - Step 5: Solve for x
x = 436,350,321/11,596.50 - Step 6: Final answer
x = 37,627.76
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Why These Related Problems?
These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.