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Finding the Third Proportional to 16,904 and 18,680

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Solution

The third proportional to 16,904 and 18,680 is: 20,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,904 : 18,680 = 18,680 : x
  2. Step 2: Convert to fraction form
    16,904/18,680 = 18,680/x
  3. Step 3: Cross multiply
    16,904x = 18,680 × 18,680
  4. Step 4: Simplify right side
    16,904x = 348,942,400
  5. Step 5: Solve for x
    x = 348,942,400/16,904
  6. Step 6: Final answer
    x = 20,642.59

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.