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Finding the Third Proportional to 11,765 and 12,995

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Solution

The third proportional to 11,765 and 12,995 is: 14,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765 : 12,995 = 12,995 : x
  2. Step 2: Convert to fraction form
    11,765/12,995 = 12,995/x
  3. Step 3: Cross multiply
    11,765x = 12,995 × 12,995
  4. Step 4: Simplify right side
    11,765x = 168,870,025
  5. Step 5: Solve for x
    x = 168,870,025/11,765
  6. Step 6: Final answer
    x = 14,353.59

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.