Finding the Third Proportional to 42,451 and 57,448
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Solution
The third proportional to 42,451 and 57,448 is: 77,743.11
Step by Step Solution
- Step 1: Write the proportion equation
42,451 : 57,448 = 57,448 : x - Step 2: Convert to fraction form
42,451/57,448 = 57,448/x - Step 3: Cross multiply
42,451x = 57,448 × 57,448 - Step 4: Simplify right side
42,451x = 3,300,272,704 - Step 5: Solve for x
x = 3,300,272,704/42,451 - Step 6: Final answer
x = 77,743.11
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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.