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Finding the Third Proportional to 16,179.75 and 17,698.50

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Solution

The third proportional to 16,179.75 and 17,698.50 is: 19,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.75 : 17,698.50 = 17,698.50 : x
  2. Step 2: Convert to fraction form
    16,179.75/17,698.50 = 17,698.50/x
  3. Step 3: Cross multiply
    16,179.75x = 17,698.50 × 17,698.50
  4. Step 4: Simplify right side
    16,179.75x = 313,236,902.25
  5. Step 5: Solve for x
    x = 313,236,902.25/16,179.75
  6. Step 6: Final answer
    x = 19,359.81

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.