Finding the Third Proportional to 6,743.25 and 14,721.75
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Solution
The third proportional to 6,743.25 and 14,721.75 is: 32,140.28
Step by Step Solution
- Step 1: Write the proportion equation
6,743.25 : 14,721.75 = 14,721.75 : x - Step 2: Convert to fraction form
6,743.25/14,721.75 = 14,721.75/x - Step 3: Cross multiply
6,743.25x = 14,721.75 × 14,721.75 - Step 4: Simplify right side
6,743.25x = 216,729,923.06 - Step 5: Solve for x
x = 216,729,923.06/6,743.25 - Step 6: Final answer
x = 32,140.28
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.