Finding the Third Proportional to 47,559 and 73,743
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Solution
The third proportional to 47,559 and 73,743 is: 114,342.82
Step by Step Solution
- Step 1: Write the proportion equation
47,559 : 73,743 = 73,743 : x - Step 2: Convert to fraction form
47,559/73,743 = 73,743/x - Step 3: Cross multiply
47,559x = 73,743 × 73,743 - Step 4: Simplify right side
47,559x = 5,438,030,049 - Step 5: Solve for x
x = 5,438,030,049/47,559 - Step 6: Final answer
x = 114,342.82
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.