Finding the Third Proportional to 22,284 and 31,158
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Solution
The third proportional to 22,284 and 31,158 is: 43,565.83
Step by Step Solution
- Step 1: Write the proportion equation
22,284 : 31,158 = 31,158 : x - Step 2: Convert to fraction form
22,284/31,158 = 31,158/x - Step 3: Cross multiply
22,284x = 31,158 × 31,158 - Step 4: Simplify right side
22,284x = 970,820,964 - Step 5: Solve for x
x = 970,820,964/22,284 - Step 6: Final answer
x = 43,565.83
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.