Finding the Third Proportional to 27,762 and 36,027
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Solution
The third proportional to 27,762 and 36,027 is: 46,752.57
Step by Step Solution
- Step 1: Write the proportion equation
27,762 : 36,027 = 36,027 : x - Step 2: Convert to fraction form
27,762/36,027 = 36,027/x - Step 3: Cross multiply
27,762x = 36,027 × 36,027 - Step 4: Simplify right side
27,762x = 1,297,944,729 - Step 5: Solve for x
x = 1,297,944,729/27,762 - Step 6: Final answer
x = 46,752.57
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.