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Finding the Third Proportional to 7,466 and 19,401

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Solution

The third proportional to 7,466 and 19,401 is: 50,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466 : 19,401 = 19,401 : x
  2. Step 2: Convert to fraction form
    7,466/19,401 = 19,401/x
  3. Step 3: Cross multiply
    7,466x = 19,401 × 19,401
  4. Step 4: Simplify right side
    7,466x = 376,398,801
  5. Step 5: Solve for x
    x = 376,398,801/7,466
  6. Step 6: Final answer
    x = 50,415.06

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.