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Finding the Third Proportional to 13,414 and 20,031

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Solution

The third proportional to 13,414 and 20,031 is: 29,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414 : 20,031 = 20,031 : x
  2. Step 2: Convert to fraction form
    13,414/20,031 = 20,031/x
  3. Step 3: Cross multiply
    13,414x = 20,031 × 20,031
  4. Step 4: Simplify right side
    13,414x = 401,240,961
  5. Step 5: Solve for x
    x = 401,240,961/13,414
  6. Step 6: Final answer
    x = 29,912.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.