Finding the Third Proportional to 5,926 and 9,296
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Solution
The third proportional to 5,926 and 9,296 is: 14,582.45
Step by Step Solution
- Step 1: Write the proportion equation
5,926 : 9,296 = 9,296 : x - Step 2: Convert to fraction form
5,926/9,296 = 9,296/x - Step 3: Cross multiply
5,926x = 9,296 × 9,296 - Step 4: Simplify right side
5,926x = 86,415,616 - Step 5: Solve for x
x = 86,415,616/5,926 - Step 6: Final answer
x = 14,582.45
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.