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Finding the Third Proportional to 13,489 and 21,551

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Solution

The third proportional to 13,489 and 21,551 is: 34,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489 : 21,551 = 21,551 : x
  2. Step 2: Convert to fraction form
    13,489/21,551 = 21,551/x
  3. Step 3: Cross multiply
    13,489x = 21,551 × 21,551
  4. Step 4: Simplify right side
    13,489x = 464,445,601
  5. Step 5: Solve for x
    x = 464,445,601/13,489
  6. Step 6: Final answer
    x = 34,431.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.