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Finding the Third Proportional to 43,695 and 65,758

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Solution

The third proportional to 43,695 and 65,758 is: 98,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,695 : 65,758 = 65,758 : x
  2. Step 2: Convert to fraction form
    43,695/65,758 = 65,758/x
  3. Step 3: Cross multiply
    43,695x = 65,758 × 65,758
  4. Step 4: Simplify right side
    43,695x = 4,324,114,564
  5. Step 5: Solve for x
    x = 4,324,114,564/43,695
  6. Step 6: Final answer
    x = 98,961.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.