Finding the Third Proportional to 23,416 and 31,560
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Solution
The third proportional to 23,416 and 31,560 is: 42,536.45
Step by Step Solution
- Step 1: Write the proportion equation
23,416 : 31,560 = 31,560 : x - Step 2: Convert to fraction form
23,416/31,560 = 31,560/x - Step 3: Cross multiply
23,416x = 31,560 × 31,560 - Step 4: Simplify right side
23,416x = 996,033,600 - Step 5: Solve for x
x = 996,033,600/23,416 - Step 6: Final answer
x = 42,536.45
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1.5x scale
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.