Finding the Third Proportional to 49,882.50 and 72,963
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Solution
The third proportional to 49,882.50 and 72,963 is: 106,722.79
Step by Step Solution
- Step 1: Write the proportion equation
49,882.50 : 72,963 = 72,963 : x - Step 2: Convert to fraction form
49,882.50/72,963 = 72,963/x - Step 3: Cross multiply
49,882.50x = 72,963 × 72,963 - Step 4: Simplify right side
49,882.50x = 5,323,599,369 - Step 5: Solve for x
x = 5,323,599,369/49,882.50 - Step 6: Final answer
x = 106,722.79
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.