Finding the Third Proportional to 49,724 and 69,522
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Solution
The third proportional to 49,724 and 69,522 is: 97,202.73
Step by Step Solution
- Step 1: Write the proportion equation
49,724 : 69,522 = 69,522 : x - Step 2: Convert to fraction form
49,724/69,522 = 69,522/x - Step 3: Cross multiply
49,724x = 69,522 × 69,522 - Step 4: Simplify right side
49,724x = 4,833,308,484 - Step 5: Solve for x
x = 4,833,308,484/49,724 - Step 6: Final answer
x = 97,202.73
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.