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Finding the Third Proportional to 16,990 and 34,735

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Solution

The third proportional to 16,990 and 34,735 is: 71,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,990 : 34,735 = 34,735 : x
  2. Step 2: Convert to fraction form
    16,990/34,735 = 34,735/x
  3. Step 3: Cross multiply
    16,990x = 34,735 × 34,735
  4. Step 4: Simplify right side
    16,990x = 1,206,520,225
  5. Step 5: Solve for x
    x = 1,206,520,225/16,990
  6. Step 6: Final answer
    x = 71,013.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.