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Finding the Third Proportional to 13,923 and 21,789

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Solution

The third proportional to 13,923 and 21,789 is: 34,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923 : 21,789 = 21,789 : x
  2. Step 2: Convert to fraction form
    13,923/21,789 = 21,789/x
  3. Step 3: Cross multiply
    13,923x = 21,789 × 21,789
  4. Step 4: Simplify right side
    13,923x = 474,760,521
  5. Step 5: Solve for x
    x = 474,760,521/13,923
  6. Step 6: Final answer
    x = 34,099.01

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.