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Finding the Third Proportional to 17,205 and 36,477

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Solution

The third proportional to 17,205 and 36,477 is: 77,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205 : 36,477 = 36,477 : x
  2. Step 2: Convert to fraction form
    17,205/36,477 = 36,477/x
  3. Step 3: Cross multiply
    17,205x = 36,477 × 36,477
  4. Step 4: Simplify right side
    17,205x = 1,330,571,529
  5. Step 5: Solve for x
    x = 1,330,571,529/17,205
  6. Step 6: Final answer
    x = 77,336.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.