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Finding the Third Proportional to 11,768.25 and 17,013.75

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Solution

The third proportional to 11,768.25 and 17,013.75 is: 24,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.25 : 17,013.75 = 17,013.75 : x
  2. Step 2: Convert to fraction form
    11,768.25/17,013.75 = 17,013.75/x
  3. Step 3: Cross multiply
    11,768.25x = 17,013.75 × 17,013.75
  4. Step 4: Simplify right side
    11,768.25x = 289,467,689.06
  5. Step 5: Solve for x
    x = 289,467,689.06/11,768.25
  6. Step 6: Final answer
    x = 24,597.34

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.