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Finding the Third Proportional to 17,344.13 and 23,107.78

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Solution

The third proportional to 17,344.13 and 23,107.78 is: 30,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.13 : 23,107.78 = 23,107.78 : x
  2. Step 2: Convert to fraction form
    17,344.13/23,107.78 = 23,107.78/x
  3. Step 3: Cross multiply
    17,344.13x = 23,107.78 × 23,107.78
  4. Step 4: Simplify right side
    17,344.13x = 533,969,554.30
  5. Step 5: Solve for x
    x = 533,969,554.30/17,344.13
  6. Step 6: Final answer
    x = 30,786.77

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.