Finding the Third Proportional to 23,298 and 32,160
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Solution
The third proportional to 23,298 and 32,160 is: 44,392.89
Step by Step Solution
- Step 1: Write the proportion equation
23,298 : 32,160 = 32,160 : x - Step 2: Convert to fraction form
23,298/32,160 = 32,160/x - Step 3: Cross multiply
23,298x = 32,160 × 32,160 - Step 4: Simplify right side
23,298x = 1,034,265,600 - Step 5: Solve for x
x = 1,034,265,600/23,298 - Step 6: Final answer
x = 44,392.89
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.