Finding the Third Proportional to 22,800 and 32,982
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Solution
The third proportional to 22,800 and 32,982 is: 47,711.07
Step by Step Solution
- Step 1: Write the proportion equation
22,800 : 32,982 = 32,982 : x - Step 2: Convert to fraction form
22,800/32,982 = 32,982/x - Step 3: Cross multiply
22,800x = 32,982 × 32,982 - Step 4: Simplify right side
22,800x = 1,087,812,324 - Step 5: Solve for x
x = 1,087,812,324/22,800 - Step 6: Final answer
x = 47,711.07
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.