Finding the Third Proportional to 27,977 and 54,537
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Solution
The third proportional to 27,977 and 54,537 is: 106,311.77
Step by Step Solution
- Step 1: Write the proportion equation
27,977 : 54,537 = 54,537 : x - Step 2: Convert to fraction form
27,977/54,537 = 54,537/x - Step 3: Cross multiply
27,977x = 54,537 × 54,537 - Step 4: Simplify right side
27,977x = 2,974,284,369 - Step 5: Solve for x
x = 2,974,284,369/27,977 - Step 6: Final answer
x = 106,311.77
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.