Finding the Third Proportional to 22,533 and 48,942
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Solution
The third proportional to 22,533 and 48,942 is: 106,302.73
Step by Step Solution
- Step 1: Write the proportion equation
22,533 : 48,942 = 48,942 : x - Step 2: Convert to fraction form
22,533/48,942 = 48,942/x - Step 3: Cross multiply
22,533x = 48,942 × 48,942 - Step 4: Simplify right side
22,533x = 2,395,319,364 - Step 5: Solve for x
x = 2,395,319,364/22,533 - Step 6: Final answer
x = 106,302.73
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.