Finding the Third Proportional to 23,466 and 31,719
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Solution
The third proportional to 23,466 and 31,719 is: 42,874.58
Step by Step Solution
- Step 1: Write the proportion equation
23,466 : 31,719 = 31,719 : x - Step 2: Convert to fraction form
23,466/31,719 = 31,719/x - Step 3: Cross multiply
23,466x = 31,719 × 31,719 - Step 4: Simplify right side
23,466x = 1,006,094,961 - Step 5: Solve for x
x = 1,006,094,961/23,466 - Step 6: Final answer
x = 42,874.58
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.