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Finding the Third Proportional to 22,917.94 and 30,420.56

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Solution

The third proportional to 22,917.94 and 30,420.56 is: 40,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.94 : 30,420.56 = 30,420.56 : x
  2. Step 2: Convert to fraction form
    22,917.94/30,420.56 = 30,420.56/x
  3. Step 3: Cross multiply
    22,917.94x = 30,420.56 × 30,420.56
  4. Step 4: Simplify right side
    22,917.94x = 925,410,622.82
  5. Step 5: Solve for x
    x = 925,410,622.82/22,917.94
  6. Step 6: Final answer
    x = 40,379.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.