Finding the Third Proportional to 13,946.50 and 32,716
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Solution
The third proportional to 13,946.50 and 32,716 is: 76,745.90
Step by Step Solution
- Step 1: Write the proportion equation
13,946.50 : 32,716 = 32,716 : x - Step 2: Convert to fraction form
13,946.50/32,716 = 32,716/x - Step 3: Cross multiply
13,946.50x = 32,716 × 32,716 - Step 4: Simplify right side
13,946.50x = 1,070,336,656 - Step 5: Solve for x
x = 1,070,336,656/13,946.50 - Step 6: Final answer
x = 76,745.90
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.