Finding the Third Proportional to 6,650 and 14,596
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Solution
The third proportional to 6,650 and 14,596 is: 32,036.57
Step by Step Solution
- Step 1: Write the proportion equation
6,650 : 14,596 = 14,596 : x - Step 2: Convert to fraction form
6,650/14,596 = 14,596/x - Step 3: Cross multiply
6,650x = 14,596 × 14,596 - Step 4: Simplify right side
6,650x = 213,043,216 - Step 5: Solve for x
x = 213,043,216/6,650 - Step 6: Final answer
x = 32,036.57
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.