Finding the Third Proportional to 23,490 and 31,315
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Solution
The third proportional to 23,490 and 31,315 is: 41,746.67
Step by Step Solution
- Step 1: Write the proportion equation
23,490 : 31,315 = 31,315 : x - Step 2: Convert to fraction form
23,490/31,315 = 31,315/x - Step 3: Cross multiply
23,490x = 31,315 × 31,315 - Step 4: Simplify right side
23,490x = 980,629,225 - Step 5: Solve for x
x = 980,629,225/23,490 - Step 6: Final answer
x = 41,746.67
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.