Finding the Third Proportional to 35,178 and 74,970
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Solution
The third proportional to 35,178 and 74,970 is: 159,773.18
Step by Step Solution
- Step 1: Write the proportion equation
35,178 : 74,970 = 74,970 : x - Step 2: Convert to fraction form
35,178/74,970 = 74,970/x - Step 3: Cross multiply
35,178x = 74,970 × 74,970 - Step 4: Simplify right side
35,178x = 5,620,500,900 - Step 5: Solve for x
x = 5,620,500,900/35,178 - Step 6: Final answer
x = 159,773.18
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.