Finding the Third Proportional to 10,731 and 23,478
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Solution
The third proportional to 10,731 and 23,478 is: 51,366.74
Step by Step Solution
- Step 1: Write the proportion equation
10,731 : 23,478 = 23,478 : x - Step 2: Convert to fraction form
10,731/23,478 = 23,478/x - Step 3: Cross multiply
10,731x = 23,478 × 23,478 - Step 4: Simplify right side
10,731x = 551,216,484 - Step 5: Solve for x
x = 551,216,484/10,731 - Step 6: Final answer
x = 51,366.74
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.