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Finding the Third Proportional to 14,013 and 20,898

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Solution

The third proportional to 14,013 and 20,898 is: 31,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013 : 20,898 = 20,898 : x
  2. Step 2: Convert to fraction form
    14,013/20,898 = 20,898/x
  3. Step 3: Cross multiply
    14,013x = 20,898 × 20,898
  4. Step 4: Simplify right side
    14,013x = 436,726,404
  5. Step 5: Solve for x
    x = 436,726,404/14,013
  6. Step 6: Final answer
    x = 31,165.80

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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.