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Finding the Third Proportional to 13,229 and 20,501

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Solution

The third proportional to 13,229 and 20,501 is: 31,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229 : 20,501 = 20,501 : x
  2. Step 2: Convert to fraction form
    13,229/20,501 = 20,501/x
  3. Step 3: Cross multiply
    13,229x = 20,501 × 20,501
  4. Step 4: Simplify right side
    13,229x = 420,291,001
  5. Step 5: Solve for x
    x = 420,291,001/13,229
  6. Step 6: Final answer
    x = 31,770.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.