Finding the Third Proportional to 22,462 and 32,748
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Solution
The third proportional to 22,462 and 32,748 is: 47,744.26
Step by Step Solution
- Step 1: Write the proportion equation
22,462 : 32,748 = 32,748 : x - Step 2: Convert to fraction form
22,462/32,748 = 32,748/x - Step 3: Cross multiply
22,462x = 32,748 × 32,748 - Step 4: Simplify right side
22,462x = 1,072,431,504 - Step 5: Solve for x
x = 1,072,431,504/22,462 - Step 6: Final answer
x = 47,744.26
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.