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Finding the Third Proportional to 38,150 and 50,937

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Solution

The third proportional to 38,150 and 50,937 is: 68,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,150 : 50,937 = 50,937 : x
  2. Step 2: Convert to fraction form
    38,150/50,937 = 50,937/x
  3. Step 3: Cross multiply
    38,150x = 50,937 × 50,937
  4. Step 4: Simplify right side
    38,150x = 2,594,577,969
  5. Step 5: Solve for x
    x = 2,594,577,969/38,150
  6. Step 6: Final answer
    x = 68,009.91

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.