Finding the Third Proportional to 51,643.50 and 109,488
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Solution
The third proportional to 51,643.50 and 109,488 is: 232,122.57
Step by Step Solution
- Step 1: Write the proportion equation
51,643.50 : 109,488 = 109,488 : x - Step 2: Convert to fraction form
51,643.50/109,488 = 109,488/x - Step 3: Cross multiply
51,643.50x = 109,488 × 109,488 - Step 4: Simplify right side
51,643.50x = 11,987,622,144 - Step 5: Solve for x
x = 11,987,622,144/51,643.50 - Step 6: Final answer
x = 232,122.57
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.