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Finding the Third Proportional to 5,015.75 and 10,679.38

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Solution

The third proportional to 5,015.75 and 10,679.38 is: 22,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,015.75 : 10,679.38 = 10,679.38 : x
  2. Step 2: Convert to fraction form
    5,015.75/10,679.38 = 10,679.38/x
  3. Step 3: Cross multiply
    5,015.75x = 10,679.38 × 10,679.38
  4. Step 4: Simplify right side
    5,015.75x = 114,049,050.39
  5. Step 5: Solve for x
    x = 114,049,050.39/5,015.75
  6. Step 6: Final answer
    x = 22,738.18

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.