Finding the Third Proportional to 32,948 and 50,998
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Solution
The third proportional to 32,948 and 50,998 is: 78,936.38
Step by Step Solution
- Step 1: Write the proportion equation
32,948 : 50,998 = 50,998 : x - Step 2: Convert to fraction form
32,948/50,998 = 50,998/x - Step 3: Cross multiply
32,948x = 50,998 × 50,998 - Step 4: Simplify right side
32,948x = 2,600,796,004 - Step 5: Solve for x
x = 2,600,796,004/32,948 - Step 6: Final answer
x = 78,936.38
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.