Finding the Third Proportional to 12,999 and 27,774
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Solution
The third proportional to 12,999 and 27,774 is: 59,342.65
Step by Step Solution
- Step 1: Write the proportion equation
12,999 : 27,774 = 27,774 : x - Step 2: Convert to fraction form
12,999/27,774 = 27,774/x - Step 3: Cross multiply
12,999x = 27,774 × 27,774 - Step 4: Simplify right side
12,999x = 771,395,076 - Step 5: Solve for x
x = 771,395,076/12,999 - Step 6: Final answer
x = 59,342.65
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.