Finding the Third Proportional to 47,664 and 101,658
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Solution
The third proportional to 47,664 and 101,658 is: 216,816.65
Step by Step Solution
- Step 1: Write the proportion equation
47,664 : 101,658 = 101,658 : x - Step 2: Convert to fraction form
47,664/101,658 = 101,658/x - Step 3: Cross multiply
47,664x = 101,658 × 101,658 - Step 4: Simplify right side
47,664x = 10,334,348,964 - Step 5: Solve for x
x = 10,334,348,964/47,664 - Step 6: Final answer
x = 216,816.65
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.