Finding the Third Proportional to 6,415.13 and 9,596.63
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Solution
The third proportional to 6,415.13 and 9,596.63 is: 14,355.95
Step by Step Solution
- Step 1: Write the proportion equation
6,415.13 : 9,596.63 = 9,596.63 : x - Step 2: Convert to fraction form
6,415.13/9,596.63 = 9,596.63/x - Step 3: Cross multiply
6,415.13x = 9,596.63 × 9,596.63 - Step 4: Simplify right side
6,415.13x = 92,095,211.39 - Step 5: Solve for x
x = 92,095,211.39/6,415.13 - Step 6: Final answer
x = 14,355.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.