Finding the Third Proportional to 53,404 and 76,314
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Solution
The third proportional to 53,404 and 76,314 is: 109,052.25
Step by Step Solution
- Step 1: Write the proportion equation
53,404 : 76,314 = 76,314 : x - Step 2: Convert to fraction form
53,404/76,314 = 76,314/x - Step 3: Cross multiply
53,404x = 76,314 × 76,314 - Step 4: Simplify right side
53,404x = 5,823,826,596 - Step 5: Solve for x
x = 5,823,826,596/53,404 - Step 6: Final answer
x = 109,052.25
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.