Finding the Third Proportional to 32,424 and 47,583
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Solution
The third proportional to 32,424 and 47,583 is: 69,829.20
Step by Step Solution
- Step 1: Write the proportion equation
32,424 : 47,583 = 47,583 : x - Step 2: Convert to fraction form
32,424/47,583 = 47,583/x - Step 3: Cross multiply
32,424x = 47,583 × 47,583 - Step 4: Simplify right side
32,424x = 2,264,141,889 - Step 5: Solve for x
x = 2,264,141,889/32,424 - Step 6: Final answer
x = 69,829.20
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.