Finding the Third Proportional to 11,820 and 16,044
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Solution
The third proportional to 11,820 and 16,044 is: 21,777.49
Step by Step Solution
- Step 1: Write the proportion equation
11,820 : 16,044 = 16,044 : x - Step 2: Convert to fraction form
11,820/16,044 = 16,044/x - Step 3: Cross multiply
11,820x = 16,044 × 16,044 - Step 4: Simplify right side
11,820x = 257,409,936 - Step 5: Solve for x
x = 257,409,936/11,820 - Step 6: Final answer
x = 21,777.49
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.