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Finding the Third Proportional to 13,724 and 18,706

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Solution

The third proportional to 13,724 and 18,706 is: 25,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724 : 18,706 = 18,706 : x
  2. Step 2: Convert to fraction form
    13,724/18,706 = 18,706/x
  3. Step 3: Cross multiply
    13,724x = 18,706 × 18,706
  4. Step 4: Simplify right side
    13,724x = 349,914,436
  5. Step 5: Solve for x
    x = 349,914,436/13,724
  6. Step 6: Final answer
    x = 25,496.53

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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.