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Finding the Third Proportional to 10,727.44 and 22,435.73

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Solution

The third proportional to 10,727.44 and 22,435.73 is: 46,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.44 : 22,435.73 = 22,435.73 : x
  2. Step 2: Convert to fraction form
    10,727.44/22,435.73 = 22,435.73/x
  3. Step 3: Cross multiply
    10,727.44x = 22,435.73 × 22,435.73
  4. Step 4: Simplify right side
    10,727.44x = 503,362,176.95
  5. Step 5: Solve for x
    x = 503,362,176.95/10,727.44
  6. Step 6: Final answer
    x = 46,922.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.