Finding the Third Proportional to 24,822.75 and 53,199.75
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Solution
The third proportional to 24,822.75 and 53,199.75 is: 114,016.92
Step by Step Solution
- Step 1: Write the proportion equation
24,822.75 : 53,199.75 = 53,199.75 : x - Step 2: Convert to fraction form
24,822.75/53,199.75 = 53,199.75/x - Step 3: Cross multiply
24,822.75x = 53,199.75 × 53,199.75 - Step 4: Simplify right side
24,822.75x = 2,830,213,400.06 - Step 5: Solve for x
x = 2,830,213,400.06/24,822.75 - Step 6: Final answer
x = 114,016.92
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.