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Finding the Third Proportional to 38,115 and 50,919.75

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Solution

The third proportional to 38,115 and 50,919.75 is: 68,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115 : 50,919.75 = 50,919.75 : x
  2. Step 2: Convert to fraction form
    38,115/50,919.75 = 50,919.75/x
  3. Step 3: Cross multiply
    38,115x = 50,919.75 × 50,919.75
  4. Step 4: Simplify right side
    38,115x = 2,592,820,940.06
  5. Step 5: Solve for x
    x = 2,592,820,940.06/38,115
  6. Step 6: Final answer
    x = 68,026.26

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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.