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Finding the Third Proportional to 46,611 and 65,664

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Solution

The third proportional to 46,611 and 65,664 is: 92,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,611 : 65,664 = 65,664 : x
  2. Step 2: Convert to fraction form
    46,611/65,664 = 65,664/x
  3. Step 3: Cross multiply
    46,611x = 65,664 × 65,664
  4. Step 4: Simplify right side
    46,611x = 4,311,760,896
  5. Step 5: Solve for x
    x = 4,311,760,896/46,611
  6. Step 6: Final answer
    x = 92,505.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.