Finding the Third Proportional to 19,600 and 42,734
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Solution
The third proportional to 19,600 and 42,734 is: 93,173.20
Step by Step Solution
- Step 1: Write the proportion equation
19,600 : 42,734 = 42,734 : x - Step 2: Convert to fraction form
19,600/42,734 = 42,734/x - Step 3: Cross multiply
19,600x = 42,734 × 42,734 - Step 4: Simplify right side
19,600x = 1,826,194,756 - Step 5: Solve for x
x = 1,826,194,756/19,600 - Step 6: Final answer
x = 93,173.20
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.