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Finding the Third Proportional to 9,687.94 and 19,786.78

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Solution

The third proportional to 9,687.94 and 19,786.78 is: 40,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.94 : 19,786.78 = 19,786.78 : x
  2. Step 2: Convert to fraction form
    9,687.94/19,786.78 = 19,786.78/x
  3. Step 3: Cross multiply
    9,687.94x = 19,786.78 × 19,786.78
  4. Step 4: Simplify right side
    9,687.94x = 391,516,712.24
  5. Step 5: Solve for x
    x = 391,516,712.24/9,687.94
  6. Step 6: Final answer
    x = 40,412.80

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.