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Finding the Third Proportional to 13,660 and 29,995

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Solution

The third proportional to 13,660 and 29,995 is: 65,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660 : 29,995 = 29,995 : x
  2. Step 2: Convert to fraction form
    13,660/29,995 = 29,995/x
  3. Step 3: Cross multiply
    13,660x = 29,995 × 29,995
  4. Step 4: Simplify right side
    13,660x = 899,700,025
  5. Step 5: Solve for x
    x = 899,700,025/13,660
  6. Step 6: Final answer
    x = 65,863.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.