Finding the Third Proportional to 23,031 and 32,616
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Solution
The third proportional to 23,031 and 32,616 is: 46,190.07
Step by Step Solution
- Step 1: Write the proportion equation
23,031 : 32,616 = 32,616 : x - Step 2: Convert to fraction form
23,031/32,616 = 32,616/x - Step 3: Cross multiply
23,031x = 32,616 × 32,616 - Step 4: Simplify right side
23,031x = 1,063,803,456 - Step 5: Solve for x
x = 1,063,803,456/23,031 - Step 6: Final answer
x = 46,190.07
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.