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Finding the Third Proportional to 50,407 and 76,015.75

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Solution

The third proportional to 50,407 and 76,015.75 is: 114,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,407 : 76,015.75 = 76,015.75 : x
  2. Step 2: Convert to fraction form
    50,407/76,015.75 = 76,015.75/x
  3. Step 3: Cross multiply
    50,407x = 76,015.75 × 76,015.75
  4. Step 4: Simplify right side
    50,407x = 5,778,394,248.06
  5. Step 5: Solve for x
    x = 5,778,394,248.06/50,407
  6. Step 6: Final answer
    x = 114,634.76

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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.