Finding the Third Proportional to 31,269 and 45,862
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Solution
The third proportional to 31,269 and 45,862 is: 67,265.44
Step by Step Solution
- Step 1: Write the proportion equation
31,269 : 45,862 = 45,862 : x - Step 2: Convert to fraction form
31,269/45,862 = 45,862/x - Step 3: Cross multiply
31,269x = 45,862 × 45,862 - Step 4: Simplify right side
31,269x = 2,103,323,044 - Step 5: Solve for x
x = 2,103,323,044/31,269 - Step 6: Final answer
x = 67,265.44
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.