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Finding the Third Proportional to 16,707.50 and 34,474

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Solution

The third proportional to 16,707.50 and 34,474 is: 71,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.50 : 34,474 = 34,474 : x
  2. Step 2: Convert to fraction form
    16,707.50/34,474 = 34,474/x
  3. Step 3: Cross multiply
    16,707.50x = 34,474 × 34,474
  4. Step 4: Simplify right side
    16,707.50x = 1,188,456,676
  5. Step 5: Solve for x
    x = 1,188,456,676/16,707.50
  6. Step 6: Final answer
    x = 71,133.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.