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Finding the Third Proportional to 13,720 and 18,096

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Solution

The third proportional to 13,720 and 18,096 is: 23,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720 : 18,096 = 18,096 : x
  2. Step 2: Convert to fraction form
    13,720/18,096 = 18,096/x
  3. Step 3: Cross multiply
    13,720x = 18,096 × 18,096
  4. Step 4: Simplify right side
    13,720x = 327,465,216
  5. Step 5: Solve for x
    x = 327,465,216/13,720
  6. Step 6: Final answer
    x = 23,867.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.