Finding the Third Proportional to 31,800 and 50,342
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Solution
The third proportional to 31,800 and 50,342 is: 79,695.50
Step by Step Solution
- Step 1: Write the proportion equation
31,800 : 50,342 = 50,342 : x - Step 2: Convert to fraction form
31,800/50,342 = 50,342/x - Step 3: Cross multiply
31,800x = 50,342 × 50,342 - Step 4: Simplify right side
31,800x = 2,534,316,964 - Step 5: Solve for x
x = 2,534,316,964/31,800 - Step 6: Final answer
x = 79,695.50
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.