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Finding the Third Proportional to 13,797 and 19,995

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Solution

The third proportional to 13,797 and 19,995 is: 28,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797 : 19,995 = 19,995 : x
  2. Step 2: Convert to fraction form
    13,797/19,995 = 19,995/x
  3. Step 3: Cross multiply
    13,797x = 19,995 × 19,995
  4. Step 4: Simplify right side
    13,797x = 399,800,025
  5. Step 5: Solve for x
    x = 399,800,025/13,797
  6. Step 6: Final answer
    x = 28,977.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.