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Finding the Third Proportional to 17,389.69 and 23,836.78

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Solution

The third proportional to 17,389.69 and 23,836.78 is: 32,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389.69 : 23,836.78 = 23,836.78 : x
  2. Step 2: Convert to fraction form
    17,389.69/23,836.78 = 23,836.78/x
  3. Step 3: Cross multiply
    17,389.69x = 23,836.78 × 23,836.78
  4. Step 4: Simplify right side
    17,389.69x = 568,192,140.36
  5. Step 5: Solve for x
    x = 568,192,140.36/17,389.69
  6. Step 6: Final answer
    x = 32,674.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.