Finding the Third Proportional to 24,312 and 38,656
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Solution
The third proportional to 24,312 and 38,656 is: 61,462.91
Step by Step Solution
- Step 1: Write the proportion equation
24,312 : 38,656 = 38,656 : x - Step 2: Convert to fraction form
24,312/38,656 = 38,656/x - Step 3: Cross multiply
24,312x = 38,656 × 38,656 - Step 4: Simplify right side
24,312x = 1,494,286,336 - Step 5: Solve for x
x = 1,494,286,336/24,312 - Step 6: Final answer
x = 61,462.91
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.