Finding the Third Proportional to 19,424 and 42,112
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Solution
The third proportional to 19,424 and 42,112 is: 91,300.48
Step by Step Solution
- Step 1: Write the proportion equation
19,424 : 42,112 = 42,112 : x - Step 2: Convert to fraction form
19,424/42,112 = 42,112/x - Step 3: Cross multiply
19,424x = 42,112 × 42,112 - Step 4: Simplify right side
19,424x = 1,773,420,544 - Step 5: Solve for x
x = 1,773,420,544/19,424 - Step 6: Final answer
x = 91,300.48
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.