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Finding the Third Proportional to 12,898 and 17,401

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Solution

The third proportional to 12,898 and 17,401 is: 23,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898 : 17,401 = 17,401 : x
  2. Step 2: Convert to fraction form
    12,898/17,401 = 17,401/x
  3. Step 3: Cross multiply
    12,898x = 17,401 × 17,401
  4. Step 4: Simplify right side
    12,898x = 302,794,801
  5. Step 5: Solve for x
    x = 302,794,801/12,898
  6. Step 6: Final answer
    x = 23,476.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.