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Finding the Third Proportional to 10,204.73 and 22,474.97

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Solution

The third proportional to 10,204.73 and 22,474.97 is: 49,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.73 : 22,474.97 = 22,474.97 : x
  2. Step 2: Convert to fraction form
    10,204.73/22,474.97 = 22,474.97/x
  3. Step 3: Cross multiply
    10,204.73x = 22,474.97 × 22,474.97
  4. Step 4: Simplify right side
    10,204.73x = 505,124,220.31
  5. Step 5: Solve for x
    x = 505,124,220.31/10,204.73
  6. Step 6: Final answer
    x = 49,499.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.