Finding the Third Proportional to 31,972.50 and 50,046
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Solution
The third proportional to 31,972.50 and 50,046 is: 78,336.14
Step by Step Solution
- Step 1: Write the proportion equation
31,972.50 : 50,046 = 50,046 : x - Step 2: Convert to fraction form
31,972.50/50,046 = 50,046/x - Step 3: Cross multiply
31,972.50x = 50,046 × 50,046 - Step 4: Simplify right side
31,972.50x = 2,504,602,116 - Step 5: Solve for x
x = 2,504,602,116/31,972.50 - Step 6: Final answer
x = 78,336.14
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.