Finding the Third Proportional to 22,156 and 31,602
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Solution
The third proportional to 22,156 and 31,602 is: 45,075.21
Step by Step Solution
- Step 1: Write the proportion equation
22,156 : 31,602 = 31,602 : x - Step 2: Convert to fraction form
22,156/31,602 = 31,602/x - Step 3: Cross multiply
22,156x = 31,602 × 31,602 - Step 4: Simplify right side
22,156x = 998,686,404 - Step 5: Solve for x
x = 998,686,404/22,156 - Step 6: Final answer
x = 45,075.21
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.