Finding the Third Proportional to 48,396 and 71,298
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Solution
The third proportional to 48,396 and 71,298 is: 105,037.71
Step by Step Solution
- Step 1: Write the proportion equation
48,396 : 71,298 = 71,298 : x - Step 2: Convert to fraction form
48,396/71,298 = 71,298/x - Step 3: Cross multiply
48,396x = 71,298 × 71,298 - Step 4: Simplify right side
48,396x = 5,083,404,804 - Step 5: Solve for x
x = 5,083,404,804/48,396 - Step 6: Final answer
x = 105,037.71
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.