Finding the Third Proportional to 27,009 and 56,184
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Solution
The third proportional to 27,009 and 56,184 is: 116,873.70
Step by Step Solution
- Step 1: Write the proportion equation
27,009 : 56,184 = 56,184 : x - Step 2: Convert to fraction form
27,009/56,184 = 56,184/x - Step 3: Cross multiply
27,009x = 56,184 × 56,184 - Step 4: Simplify right side
27,009x = 3,156,641,856 - Step 5: Solve for x
x = 3,156,641,856/27,009 - Step 6: Final answer
x = 116,873.70
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.