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Finding the Third Proportional to 13,706 and 18,573

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Solution

The third proportional to 13,706 and 18,573 is: 25,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706 : 18,573 = 18,573 : x
  2. Step 2: Convert to fraction form
    13,706/18,573 = 18,573/x
  3. Step 3: Cross multiply
    13,706x = 18,573 × 18,573
  4. Step 4: Simplify right side
    13,706x = 344,956,329
  5. Step 5: Solve for x
    x = 344,956,329/13,706
  6. Step 6: Final answer
    x = 25,168.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.