Finding the Third Proportional to 46,424 and 70,724
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Solution
The third proportional to 46,424 and 70,724 is: 107,743.50
Step by Step Solution
- Step 1: Write the proportion equation
46,424 : 70,724 = 70,724 : x - Step 2: Convert to fraction form
46,424/70,724 = 70,724/x - Step 3: Cross multiply
46,424x = 70,724 × 70,724 - Step 4: Simplify right side
46,424x = 5,001,884,176 - Step 5: Solve for x
x = 5,001,884,176/46,424 - Step 6: Final answer
x = 107,743.50
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.