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Finding the Third Proportional to 17,749 and 27,477

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Solution

The third proportional to 17,749 and 27,477 is: 42,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749 : 27,477 = 27,477 : x
  2. Step 2: Convert to fraction form
    17,749/27,477 = 27,477/x
  3. Step 3: Cross multiply
    17,749x = 27,477 × 27,477
  4. Step 4: Simplify right side
    17,749x = 754,985,529
  5. Step 5: Solve for x
    x = 754,985,529/17,749
  6. Step 6: Final answer
    x = 42,536.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.