Finding the Third Proportional to 24,998 and 52,784
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Solution
The third proportional to 24,998 and 52,784 is: 111,454.94
Step by Step Solution
- Step 1: Write the proportion equation
24,998 : 52,784 = 52,784 : x - Step 2: Convert to fraction form
24,998/52,784 = 52,784/x - Step 3: Cross multiply
24,998x = 52,784 × 52,784 - Step 4: Simplify right side
24,998x = 2,786,150,656 - Step 5: Solve for x
x = 2,786,150,656/24,998 - Step 6: Final answer
x = 111,454.94
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.