Finding the Third Proportional to 6,538.22 and 14,121.84
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Solution
The third proportional to 6,538.22 and 14,121.84 is: 30,501.65
Step by Step Solution
- Step 1: Write the proportion equation
6,538.22 : 14,121.84 = 14,121.84 : x - Step 2: Convert to fraction form
6,538.22/14,121.84 = 14,121.84/x - Step 3: Cross multiply
6,538.22x = 14,121.84 × 14,121.84 - Step 4: Simplify right side
6,538.22x = 199,426,470.90 - Step 5: Solve for x
x = 199,426,470.90/6,538.22 - Step 6: Final answer
x = 30,501.65
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.