Finding the Third Proportional to 23,970 and 35,880
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Solution
The third proportional to 23,970 and 35,880 is: 53,707.73
Step by Step Solution
- Step 1: Write the proportion equation
23,970 : 35,880 = 35,880 : x - Step 2: Convert to fraction form
23,970/35,880 = 35,880/x - Step 3: Cross multiply
23,970x = 35,880 × 35,880 - Step 4: Simplify right side
23,970x = 1,287,374,400 - Step 5: Solve for x
x = 1,287,374,400/23,970 - Step 6: Final answer
x = 53,707.73
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.