Finding the Third Proportional to 42,220 and 56,838
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Solution
The third proportional to 42,220 and 56,838 is: 76,517.25
Step by Step Solution
- Step 1: Write the proportion equation
42,220 : 56,838 = 56,838 : x - Step 2: Convert to fraction form
42,220/56,838 = 56,838/x - Step 3: Cross multiply
42,220x = 56,838 × 56,838 - Step 4: Simplify right side
42,220x = 3,230,558,244 - Step 5: Solve for x
x = 3,230,558,244/42,220 - Step 6: Final answer
x = 76,517.25
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.