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Finding the Third Proportional to 38,800 and 91,608

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Solution

The third proportional to 38,800 and 91,608 is: 216,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,800 : 91,608 = 91,608 : x
  2. Step 2: Convert to fraction form
    38,800/91,608 = 91,608/x
  3. Step 3: Cross multiply
    38,800x = 91,608 × 91,608
  4. Step 4: Simplify right side
    38,800x = 8,392,025,664
  5. Step 5: Solve for x
    x = 8,392,025,664/38,800
  6. Step 6: Final answer
    x = 216,289.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.