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Finding the Third Proportional to 13,836 and 20,817

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Solution

The third proportional to 13,836 and 20,817 is: 31,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836 : 20,817 = 20,817 : x
  2. Step 2: Convert to fraction form
    13,836/20,817 = 20,817/x
  3. Step 3: Cross multiply
    13,836x = 20,817 × 20,817
  4. Step 4: Simplify right side
    13,836x = 433,347,489
  5. Step 5: Solve for x
    x = 433,347,489/13,836
  6. Step 6: Final answer
    x = 31,320.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.