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Finding the Third Proportional to 10,286.68 and 22,107.94

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Solution

The third proportional to 10,286.68 and 22,107.94 is: 47,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.68 : 22,107.94 = 22,107.94 : x
  2. Step 2: Convert to fraction form
    10,286.68/22,107.94 = 22,107.94/x
  3. Step 3: Cross multiply
    10,286.68x = 22,107.94 × 22,107.94
  4. Step 4: Simplify right side
    10,286.68x = 488,760,900.50
  5. Step 5: Solve for x
    x = 488,760,900.50/10,286.68
  6. Step 6: Final answer
    x = 47,513.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.