Finding the Third Proportional to 10,282.50 and 13,932
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Solution
The third proportional to 10,282.50 and 13,932 is: 18,876.79
Step by Step Solution
- Step 1: Write the proportion equation
10,282.50 : 13,932 = 13,932 : x - Step 2: Convert to fraction form
10,282.50/13,932 = 13,932/x - Step 3: Cross multiply
10,282.50x = 13,932 × 13,932 - Step 4: Simplify right side
10,282.50x = 194,100,624 - Step 5: Solve for x
x = 194,100,624/10,282.50 - Step 6: Final answer
x = 18,876.79
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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.