Finding the Third Proportional to 47,522 and 74,747
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Solution
The third proportional to 47,522 and 74,747 is: 117,569.00
Step by Step Solution
- Step 1: Write the proportion equation
47,522 : 74,747 = 74,747 : x - Step 2: Convert to fraction form
47,522/74,747 = 74,747/x - Step 3: Cross multiply
47,522x = 74,747 × 74,747 - Step 4: Simplify right side
47,522x = 5,587,114,009 - Step 5: Solve for x
x = 5,587,114,009/47,522 - Step 6: Final answer
x = 117,569.00
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.