Finding the Third Proportional to 27,562 and 41,282
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Solution
The third proportional to 27,562 and 41,282 is: 61,831.64
Step by Step Solution
- Step 1: Write the proportion equation
27,562 : 41,282 = 41,282 : x - Step 2: Convert to fraction form
27,562/41,282 = 41,282/x - Step 3: Cross multiply
27,562x = 41,282 × 41,282 - Step 4: Simplify right side
27,562x = 1,704,203,524 - Step 5: Solve for x
x = 1,704,203,524/27,562 - Step 6: Final answer
x = 61,831.64
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.