Finding the Third Proportional to 52,464 and 76,680
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Solution
The third proportional to 52,464 and 76,680 is: 112,073.47
Step by Step Solution
- Step 1: Write the proportion equation
52,464 : 76,680 = 76,680 : x - Step 2: Convert to fraction form
52,464/76,680 = 76,680/x - Step 3: Cross multiply
52,464x = 76,680 × 76,680 - Step 4: Simplify right side
52,464x = 5,879,822,400 - Step 5: Solve for x
x = 5,879,822,400/52,464 - Step 6: Final answer
x = 112,073.47
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.