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Finding the Third Proportional to 10,469.81 and 22,786.31

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Solution

The third proportional to 10,469.81 and 22,786.31 is: 49,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.81 : 22,786.31 = 22,786.31 : x
  2. Step 2: Convert to fraction form
    10,469.81/22,786.31 = 22,786.31/x
  3. Step 3: Cross multiply
    10,469.81x = 22,786.31 × 22,786.31
  4. Step 4: Simplify right side
    10,469.81x = 519,216,037.35
  5. Step 5: Solve for x
    x = 519,216,037.35/10,469.81
  6. Step 6: Final answer
    x = 49,591.72

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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.