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Finding the Third Proportional to 50,409 and 76,018.75

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Solution

The third proportional to 50,409 and 76,018.75 is: 114,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409 : 76,018.75 = 76,018.75 : x
  2. Step 2: Convert to fraction form
    50,409/76,018.75 = 76,018.75/x
  3. Step 3: Cross multiply
    50,409x = 76,018.75 × 76,018.75
  4. Step 4: Simplify right side
    50,409x = 5,778,850,351.56
  5. Step 5: Solve for x
    x = 5,778,850,351.56/50,409
  6. Step 6: Final answer
    x = 114,639.26

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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.