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Finding the Third Proportional to 9,786.94 and 15,757.88

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Solution

The third proportional to 9,786.94 and 15,757.88 is: 25,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.94 : 15,757.88 = 15,757.88 : x
  2. Step 2: Convert to fraction form
    9,786.94/15,757.88 = 15,757.88/x
  3. Step 3: Cross multiply
    9,786.94x = 15,757.88 × 15,757.88
  4. Step 4: Simplify right side
    9,786.94x = 248,310,624.52
  5. Step 5: Solve for x
    x = 248,310,624.52/9,786.94
  6. Step 6: Final answer
    x = 25,371.64

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.