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Finding the Third Proportional to 38,481.75 and 53,793

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Solution

The third proportional to 38,481.75 and 53,793 is: 75,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481.75 : 53,793 = 53,793 : x
  2. Step 2: Convert to fraction form
    38,481.75/53,793 = 53,793/x
  3. Step 3: Cross multiply
    38,481.75x = 53,793 × 53,793
  4. Step 4: Simplify right side
    38,481.75x = 2,893,686,849
  5. Step 5: Solve for x
    x = 2,893,686,849/38,481.75
  6. Step 6: Final answer
    x = 75,196.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.