Finding the Third Proportional to 22,984 and 51,164
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Solution
The third proportional to 22,984 and 51,164 is: 113,894.66
Step by Step Solution
- Step 1: Write the proportion equation
22,984 : 51,164 = 51,164 : x - Step 2: Convert to fraction form
22,984/51,164 = 51,164/x - Step 3: Cross multiply
22,984x = 51,164 × 51,164 - Step 4: Simplify right side
22,984x = 2,617,754,896 - Step 5: Solve for x
x = 2,617,754,896/22,984 - Step 6: Final answer
x = 113,894.66
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.