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Finding the Third Proportional to 46,756 and 65,766

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Solution

The third proportional to 46,756 and 65,766 is: 92,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,756 : 65,766 = 65,766 : x
  2. Step 2: Convert to fraction form
    46,756/65,766 = 65,766/x
  3. Step 3: Cross multiply
    46,756x = 65,766 × 65,766
  4. Step 4: Simplify right side
    46,756x = 4,325,166,756
  5. Step 5: Solve for x
    x = 4,325,166,756/46,756
  6. Step 6: Final answer
    x = 92,505.06

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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.