Finding the Third Proportional to 42,448 and 57,444
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Solution
The third proportional to 42,448 and 57,444 is: 77,737.78
Step by Step Solution
- Step 1: Write the proportion equation
42,448 : 57,444 = 57,444 : x - Step 2: Convert to fraction form
42,448/57,444 = 57,444/x - Step 3: Cross multiply
42,448x = 57,444 × 57,444 - Step 4: Simplify right side
42,448x = 3,299,813,136 - Step 5: Solve for x
x = 3,299,813,136/42,448 - Step 6: Final answer
x = 77,737.78
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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.