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Finding the Third Proportional to 10,285.73 and 22,450.92

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Solution

The third proportional to 10,285.73 and 22,450.92 is: 49,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.73 : 22,450.92 = 22,450.92 : x
  2. Step 2: Convert to fraction form
    10,285.73/22,450.92 = 22,450.92/x
  3. Step 3: Cross multiply
    10,285.73x = 22,450.92 × 22,450.92
  4. Step 4: Simplify right side
    10,285.73x = 504,043,893.04
  5. Step 5: Solve for x
    x = 504,043,893.04/10,285.73
  6. Step 6: Final answer
    x = 49,004.17

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Why These Related Problems?

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