Finding the Third Proportional to 22,478 and 32,378
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Solution
The third proportional to 22,478 and 32,378 is: 46,638.26
Step by Step Solution
- Step 1: Write the proportion equation
22,478 : 32,378 = 32,378 : x - Step 2: Convert to fraction form
22,478/32,378 = 32,378/x - Step 3: Cross multiply
22,478x = 32,378 × 32,378 - Step 4: Simplify right side
22,478x = 1,048,334,884 - Step 5: Solve for x
x = 1,048,334,884/22,478 - Step 6: Final answer
x = 46,638.26
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.