Finding the Third Proportional to 10,452 and 22,342
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Solution
The third proportional to 10,452 and 22,342 is: 47,757.84
Step by Step Solution
- Step 1: Write the proportion equation
10,452 : 22,342 = 22,342 : x - Step 2: Convert to fraction form
10,452/22,342 = 22,342/x - Step 3: Cross multiply
10,452x = 22,342 × 22,342 - Step 4: Simplify right side
10,452x = 499,164,964 - Step 5: Solve for x
x = 499,164,964/10,452 - Step 6: Final answer
x = 47,757.84
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.