Finding the Third Proportional to 5,282.09 and 7,906.68
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Solution
The third proportional to 5,282.09 and 7,906.68 is: 11,835.39
Step by Step Solution
- Step 1: Write the proportion equation
5,282.09 : 7,906.68 = 7,906.68 : x - Step 2: Convert to fraction form
5,282.09/7,906.68 = 7,906.68/x - Step 3: Cross multiply
5,282.09x = 7,906.68 × 7,906.68 - Step 4: Simplify right side
5,282.09x = 62,515,521.91 - Step 5: Solve for x
x = 62,515,521.91/5,282.09 - Step 6: Final answer
x = 11,835.39
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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.