Finding the Third Proportional to 23,297 and 31,040
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Solution
The third proportional to 23,297 and 31,040 is: 41,356.47
Step by Step Solution
- Step 1: Write the proportion equation
23,297 : 31,040 = 31,040 : x - Step 2: Convert to fraction form
23,297/31,040 = 31,040/x - Step 3: Cross multiply
23,297x = 31,040 × 31,040 - Step 4: Simplify right side
23,297x = 963,481,600 - Step 5: Solve for x
x = 963,481,600/23,297 - Step 6: Final answer
x = 41,356.47
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.