Finding the Third Proportional to 9,114 and 21,297
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Solution
The third proportional to 9,114 and 21,297 is: 49,765.44
Step by Step Solution
- Step 1: Write the proportion equation
9,114 : 21,297 = 21,297 : x - Step 2: Convert to fraction form
9,114/21,297 = 21,297/x - Step 3: Cross multiply
9,114x = 21,297 × 21,297 - Step 4: Simplify right side
9,114x = 453,562,209 - Step 5: Solve for x
x = 453,562,209/9,114 - Step 6: Final answer
x = 49,765.44
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.