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Finding the Third Proportional to 16,699.50 and 43,206.75

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Solution

The third proportional to 16,699.50 and 43,206.75 is: 111,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699.50 : 43,206.75 = 43,206.75 : x
  2. Step 2: Convert to fraction form
    16,699.50/43,206.75 = 43,206.75/x
  3. Step 3: Cross multiply
    16,699.50x = 43,206.75 × 43,206.75
  4. Step 4: Simplify right side
    16,699.50x = 1,866,823,245.56
  5. Step 5: Solve for x
    x = 1,866,823,245.56/16,699.50
  6. Step 6: Final answer
    x = 111,789.17

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.