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Finding the Third Proportional to 11,768.41 and 25,680.16

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Solution

The third proportional to 11,768.41 and 25,680.16 is: 56,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.41 : 25,680.16 = 25,680.16 : x
  2. Step 2: Convert to fraction form
    11,768.41/25,680.16 = 25,680.16/x
  3. Step 3: Cross multiply
    11,768.41x = 25,680.16 × 25,680.16
  4. Step 4: Simplify right side
    11,768.41x = 659,470,826.28
  5. Step 5: Solve for x
    x = 659,470,826.28/11,768.41
  6. Step 6: Final answer
    x = 56,037.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.