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Finding the Third Proportional to 38,857.75 and 69,719.75

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Solution

The third proportional to 38,857.75 and 69,719.75 is: 125,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857.75 : 69,719.75 = 69,719.75 : x
  2. Step 2: Convert to fraction form
    38,857.75/69,719.75 = 69,719.75/x
  3. Step 3: Cross multiply
    38,857.75x = 69,719.75 × 69,719.75
  4. Step 4: Simplify right side
    38,857.75x = 4,860,843,540.06
  5. Step 5: Solve for x
    x = 4,860,843,540.06/38,857.75
  6. Step 6: Final answer
    x = 125,093.28

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.