Finding the Third Proportional to 5,926 and 9,178
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Solution
The third proportional to 5,926 and 9,178 is: 14,214.59
Step by Step Solution
- Step 1: Write the proportion equation
5,926 : 9,178 = 9,178 : x - Step 2: Convert to fraction form
5,926/9,178 = 9,178/x - Step 3: Cross multiply
5,926x = 9,178 × 9,178 - Step 4: Simplify right side
5,926x = 84,235,684 - Step 5: Solve for x
x = 84,235,684/5,926 - Step 6: Final answer
x = 14,214.59
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.