Finding the Third Proportional to 32,116 and 49,423
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Solution
The third proportional to 32,116 and 49,423 is: 76,056.57
Step by Step Solution
- Step 1: Write the proportion equation
32,116 : 49,423 = 49,423 : x - Step 2: Convert to fraction form
32,116/49,423 = 49,423/x - Step 3: Cross multiply
32,116x = 49,423 × 49,423 - Step 4: Simplify right side
32,116x = 2,442,632,929 - Step 5: Solve for x
x = 2,442,632,929/32,116 - Step 6: Final answer
x = 76,056.57
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.