Finding the Third Proportional to 48,960 and 76,326
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Solution
The third proportional to 48,960 and 76,326 is: 118,988.12
Step by Step Solution
- Step 1: Write the proportion equation
48,960 : 76,326 = 76,326 : x - Step 2: Convert to fraction form
48,960/76,326 = 76,326/x - Step 3: Cross multiply
48,960x = 76,326 × 76,326 - Step 4: Simplify right side
48,960x = 5,825,658,276 - Step 5: Solve for x
x = 5,825,658,276/48,960 - Step 6: Final answer
x = 118,988.12
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.