Finding the Third Proportional to 23,496 and 31,948
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Solution
The third proportional to 23,496 and 31,948 is: 43,440.36
Step by Step Solution
- Step 1: Write the proportion equation
23,496 : 31,948 = 31,948 : x - Step 2: Convert to fraction form
23,496/31,948 = 31,948/x - Step 3: Cross multiply
23,496x = 31,948 × 31,948 - Step 4: Simplify right side
23,496x = 1,020,674,704 - Step 5: Solve for x
x = 1,020,674,704/23,496 - Step 6: Final answer
x = 43,440.36
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.