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Finding the Third Proportional to 11,646 and 17,477

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Solution

The third proportional to 11,646 and 17,477 is: 26,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 17,477 = 17,477 : x
  2. Step 2: Convert to fraction form
    11,646/17,477 = 17,477/x
  3. Step 3: Cross multiply
    11,646x = 17,477 × 17,477
  4. Step 4: Simplify right side
    11,646x = 305,445,529
  5. Step 5: Solve for x
    x = 305,445,529/11,646
  6. Step 6: Final answer
    x = 26,227.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.