Finding the Third Proportional to 19,458 and 42,682
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Solution
The third proportional to 19,458 and 42,682 is: 93,624.89
Step by Step Solution
- Step 1: Write the proportion equation
19,458 : 42,682 = 42,682 : x - Step 2: Convert to fraction form
19,458/42,682 = 42,682/x - Step 3: Cross multiply
19,458x = 42,682 × 42,682 - Step 4: Simplify right side
19,458x = 1,821,753,124 - Step 5: Solve for x
x = 1,821,753,124/19,458 - Step 6: Final answer
x = 93,624.89
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.