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Finding the Third Proportional to 16,950 and 36,330

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Solution

The third proportional to 16,950 and 36,330 is: 77,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,950 : 36,330 = 36,330 : x
  2. Step 2: Convert to fraction form
    16,950/36,330 = 36,330/x
  3. Step 3: Cross multiply
    16,950x = 36,330 × 36,330
  4. Step 4: Simplify right side
    16,950x = 1,319,868,900
  5. Step 5: Solve for x
    x = 1,319,868,900/16,950
  6. Step 6: Final answer
    x = 77,868.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.