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Finding the Third Proportional to 3,138.75 and 5,016.94

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Solution

The third proportional to 3,138.75 and 5,016.94 is: 8,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.75 : 5,016.94 = 5,016.94 : x
  2. Step 2: Convert to fraction form
    3,138.75/5,016.94 = 5,016.94/x
  3. Step 3: Cross multiply
    3,138.75x = 5,016.94 × 5,016.94
  4. Step 4: Simplify right side
    3,138.75x = 25,169,661.88
  5. Step 5: Solve for x
    x = 25,169,661.88/3,138.75
  6. Step 6: Final answer
    x = 8,019.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.