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Finding the Third Proportional to 13,724 and 18,314

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Solution

The third proportional to 13,724 and 18,314 is: 24,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724 : 18,314 = 18,314 : x
  2. Step 2: Convert to fraction form
    13,724/18,314 = 18,314/x
  3. Step 3: Cross multiply
    13,724x = 18,314 × 18,314
  4. Step 4: Simplify right side
    13,724x = 335,402,596
  5. Step 5: Solve for x
    x = 335,402,596/13,724
  6. Step 6: Final answer
    x = 24,439.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.