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Finding the Third Proportional to 50,408 and 76,016.75

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Solution

The third proportional to 50,408 and 76,016.75 is: 114,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,408 : 76,016.75 = 76,016.75 : x
  2. Step 2: Convert to fraction form
    50,408/76,016.75 = 76,016.75/x
  3. Step 3: Cross multiply
    50,408x = 76,016.75 × 76,016.75
  4. Step 4: Simplify right side
    50,408x = 5,778,546,280.56
  5. Step 5: Solve for x
    x = 5,778,546,280.56/50,408
  6. Step 6: Final answer
    x = 114,635.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.