Finding the Third Proportional to 52,024 and 74,346
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Solution
The third proportional to 52,024 and 74,346 is: 106,245.73
Step by Step Solution
- Step 1: Write the proportion equation
52,024 : 74,346 = 74,346 : x - Step 2: Convert to fraction form
52,024/74,346 = 74,346/x - Step 3: Cross multiply
52,024x = 74,346 × 74,346 - Step 4: Simplify right side
52,024x = 5,527,327,716 - Step 5: Solve for x
x = 5,527,327,716/52,024 - Step 6: Final answer
x = 106,245.73
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.