Finding the Third Proportional to 14,323 and 31,550
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Solution
The third proportional to 14,323 and 31,550 is: 69,496.79
Step by Step Solution
- Step 1: Write the proportion equation
14,323 : 31,550 = 31,550 : x - Step 2: Convert to fraction form
14,323/31,550 = 31,550/x - Step 3: Cross multiply
14,323x = 31,550 × 31,550 - Step 4: Simplify right side
14,323x = 995,402,500 - Step 5: Solve for x
x = 995,402,500/14,323 - Step 6: Final answer
x = 69,496.79
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.