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Finding the Third Proportional to 14,366 and 19,401

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Solution

The third proportional to 14,366 and 19,401 is: 26,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366 : 19,401 = 19,401 : x
  2. Step 2: Convert to fraction form
    14,366/19,401 = 19,401/x
  3. Step 3: Cross multiply
    14,366x = 19,401 × 19,401
  4. Step 4: Simplify right side
    14,366x = 376,398,801
  5. Step 5: Solve for x
    x = 376,398,801/14,366
  6. Step 6: Final answer
    x = 26,200.67

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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.