Finding the Third Proportional to 9,772.38 and 23,046
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Solution
The third proportional to 9,772.38 and 23,046 is: 54,348.93
Step by Step Solution
- Step 1: Write the proportion equation
9,772.38 : 23,046 = 23,046 : x - Step 2: Convert to fraction form
9,772.38/23,046 = 23,046/x - Step 3: Cross multiply
9,772.38x = 23,046 × 23,046 - Step 4: Simplify right side
9,772.38x = 531,118,116 - Step 5: Solve for x
x = 531,118,116/9,772.38 - Step 6: Final answer
x = 54,348.93
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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.