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Finding the Third Proportional to 16,768.50 and 34,617

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Solution

The third proportional to 16,768.50 and 34,617 is: 71,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.50 : 34,617 = 34,617 : x
  2. Step 2: Convert to fraction form
    16,768.50/34,617 = 34,617/x
  3. Step 3: Cross multiply
    16,768.50x = 34,617 × 34,617
  4. Step 4: Simplify right side
    16,768.50x = 1,198,336,689
  5. Step 5: Solve for x
    x = 1,198,336,689/16,768.50
  6. Step 6: Final answer
    x = 71,463.56

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