Finding the Third Proportional to 13,994 and 32,177
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Solution
The third proportional to 13,994 and 32,177 is: 73,985.95
Step by Step Solution
- Step 1: Write the proportion equation
13,994 : 32,177 = 32,177 : x - Step 2: Convert to fraction form
13,994/32,177 = 32,177/x - Step 3: Cross multiply
13,994x = 32,177 × 32,177 - Step 4: Simplify right side
13,994x = 1,035,359,329 - Step 5: Solve for x
x = 1,035,359,329/13,994 - Step 6: Final answer
x = 73,985.95
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.