Finding the Third Proportional to 9,752 and 23,018
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Solution
The third proportional to 9,752 and 23,018 is: 54,330.22
Step by Step Solution
- Step 1: Write the proportion equation
9,752 : 23,018 = 23,018 : x - Step 2: Convert to fraction form
9,752/23,018 = 23,018/x - Step 3: Cross multiply
9,752x = 23,018 × 23,018 - Step 4: Simplify right side
9,752x = 529,828,324 - Step 5: Solve for x
x = 529,828,324/9,752 - Step 6: Final answer
x = 54,330.22
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.