Finding the Third Proportional to 42,072 and 56,144
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Solution
The third proportional to 42,072 and 56,144 is: 74,922.72
Step by Step Solution
- Step 1: Write the proportion equation
42,072 : 56,144 = 56,144 : x - Step 2: Convert to fraction form
42,072/56,144 = 56,144/x - Step 3: Cross multiply
42,072x = 56,144 × 56,144 - Step 4: Simplify right side
42,072x = 3,152,148,736 - Step 5: Solve for x
x = 3,152,148,736/42,072 - Step 6: Final answer
x = 74,922.72
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.