Finding the Third Proportional to 5,202.75 and 11,149.75
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Solution
The third proportional to 5,202.75 and 11,149.75 is: 23,894.46
Step by Step Solution
- Step 1: Write the proportion equation
5,202.75 : 11,149.75 = 11,149.75 : x - Step 2: Convert to fraction form
5,202.75/11,149.75 = 11,149.75/x - Step 3: Cross multiply
5,202.75x = 11,149.75 × 11,149.75 - Step 4: Simplify right side
5,202.75x = 124,316,925.06 - Step 5: Solve for x
x = 124,316,925.06/5,202.75 - Step 6: Final answer
x = 23,894.46
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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.