Finding the Third Proportional to 23,264 and 31,275
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Solution
The third proportional to 23,264 and 31,275 is: 42,044.60
Step by Step Solution
- Step 1: Write the proportion equation
23,264 : 31,275 = 31,275 : x - Step 2: Convert to fraction form
23,264/31,275 = 31,275/x - Step 3: Cross multiply
23,264x = 31,275 × 31,275 - Step 4: Simplify right side
23,264x = 978,125,625 - Step 5: Solve for x
x = 978,125,625/23,264 - Step 6: Final answer
x = 42,044.60
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.