Finding the Third Proportional to 47,622 and 75,342
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Solution
The third proportional to 47,622 and 75,342 is: 119,197.37
Step by Step Solution
- Step 1: Write the proportion equation
47,622 : 75,342 = 75,342 : x - Step 2: Convert to fraction form
47,622/75,342 = 75,342/x - Step 3: Cross multiply
47,622x = 75,342 × 75,342 - Step 4: Simplify right side
47,622x = 5,676,416,964 - Step 5: Solve for x
x = 5,676,416,964/47,622 - Step 6: Final answer
x = 119,197.37
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.