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Finding the Third Proportional to 38,016 and 92,448

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Solution

The third proportional to 38,016 and 92,448 is: 224,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 92,448 = 92,448 : x
  2. Step 2: Convert to fraction form
    38,016/92,448 = 92,448/x
  3. Step 3: Cross multiply
    38,016x = 92,448 × 92,448
  4. Step 4: Simplify right side
    38,016x = 8,546,632,704
  5. Step 5: Solve for x
    x = 8,546,632,704/38,016
  6. Step 6: Final answer
    x = 224,816.73

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.