Finding the Third Proportional to 24,768 and 53,406
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Solution
The third proportional to 24,768 and 53,406 is: 115,156.69
Step by Step Solution
- Step 1: Write the proportion equation
24,768 : 53,406 = 53,406 : x - Step 2: Convert to fraction form
24,768/53,406 = 53,406/x - Step 3: Cross multiply
24,768x = 53,406 × 53,406 - Step 4: Simplify right side
24,768x = 2,852,200,836 - Step 5: Solve for x
x = 2,852,200,836/24,768 - Step 6: Final answer
x = 115,156.69
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.