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Finding the Third Proportional to 10,928.25 and 23,410.69

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Solution

The third proportional to 10,928.25 and 23,410.69 is: 50,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.25 : 23,410.69 = 23,410.69 : x
  2. Step 2: Convert to fraction form
    10,928.25/23,410.69 = 23,410.69/x
  3. Step 3: Cross multiply
    10,928.25x = 23,410.69 × 23,410.69
  4. Step 4: Simplify right side
    10,928.25x = 548,060,289.22
  5. Step 5: Solve for x
    x = 548,060,289.22/10,928.25
  6. Step 6: Final answer
    x = 50,150.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.