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Finding the Third Proportional to 7,798 and 11,663

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Solution

The third proportional to 7,798 and 11,663 is: 17,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798 : 11,663 = 11,663 : x
  2. Step 2: Convert to fraction form
    7,798/11,663 = 11,663/x
  3. Step 3: Cross multiply
    7,798x = 11,663 × 11,663
  4. Step 4: Simplify right side
    7,798x = 136,025,569
  5. Step 5: Solve for x
    x = 136,025,569/7,798
  6. Step 6: Final answer
    x = 17,443.65

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